Cremona's table of elliptic curves

75200 = 2⁶ · 5² · 47

Class	r	Atkin-Lehner	Eigenvalues
75200a (1 curve)	1	2+ 5+ 47+	2+  0 5+ -4  2 -3 -6 -6
Curve Equation t Generators 75200a1 [0,0,0,-50,750] 1 [5:25:1]
75200b (2 curves)	1	2+ 5+ 47+	2+  1 5+  1 -3 -7  6  1
Curve Equation t Generators 75200b1 [0,1,0,-707633,228462863] 1 [503:200:1] 75200b2 [0,1,0,-3151633,-1947261137] 1 [58701:1039400:27]
75200c (1 curve)	1	2+ 5+ 47+	2+ -1 5+  0 -5 -4  3  7
Curve Equation t Generators 75200c1 [0,-1,0,-110593,14192897] 1 [193:-16:1]
75200d (1 curve)	1	2+ 5+ 47+	2+ -1 5+  1 -1 -5  0 -5
Curve Equation t Generators 75200d1 [0,-1,0,-156033,20631937] 1 [72:3125:1]
75200e (1 curve)	1	2+ 5+ 47+	2+ -1 5+  1 -3  1 -4  1
Curve Equation t Generators 75200e1 [0,-1,0,-1633,-8863] 1 [-13:100:1]
75200f (1 curve)	1	2+ 5+ 47+	2+ -1 5+ -1  3 -3  6  7
Curve Equation t Generators 75200f1 [0,-1,0,-8033,147937] 1 [-13:500:1]
75200g (1 curve)	1	2+ 5+ 47+	2+ -1 5+ -1 -3  3 -6  1
Curve Equation t Generators 75200g1 [0,-1,0,-5681633,-5210664863] 1 [-12761133:2367800:9261]
75200h (1 curve)	1	2+ 5+ 47+	2+ -1 5+  3  4  2 -3 -2
Curve Equation t Generators 75200h1 [0,-1,0,-833,34537] 1 [1008:61459:343]
75200i (1 curve)	1	2+ 5+ 47+	2+ -1 5+  3  5 -1 -2  1
Curve Equation t Generators 75200i1 [0,-1,0,-17633,887137] 1 [47:400:1]
75200j (1 curve)	1	2+ 5+ 47+	2+ -1 5+  4 -1  4  3 -5
Curve Equation t Generators 75200j1 [0,-1,0,767,257] 1 [1:32:1]
75200k (1 curve)	1	2+ 5+ 47+	2+  2 5+  2  0  3  0  4
Curve Equation t Generators 75200k1 [0,-1,0,367,2387] 1 [2422:119175:1]
75200l (1 curve)	1	2+ 5+ 47+	2+  2 5+ -2 -4  1  0  4
Curve Equation t Generators 75200l1 [0,-1,0,-4533,-116563] 1 [24924:754775:27]
75200m (1 curve)	1	2+ 5+ 47+	2+ -2 5+  2  0  5  4  0
Curve Equation t Generators 75200m1 [0,1,0,-10533,506563] 1 [278:4375:1]
75200n (1 curve)	1	2+ 5+ 47+	2+  3 5+ -5  1  3  6 -3
Curve Equation t Generators 75200n1 [0,0,0,-175,500] 1 [-60:800:27]
75200o (1 curve)	1	2+ 5+ 47+	2+ -3 5+ -2 -5  0  3  3
Curve Equation t Generators 75200o1 [0,0,0,72500,59650000] 1 [594:17672:1]
75200p (2 curves)	0	2+ 5+ 47-	2+  0 5+  0 -2 -4  2  2
Curve Equation t 75200p1 [0,0,0,500,-42000] 2 75200p2 [0,0,0,-15500,-714000] 2
75200q (1 curve)	0	2+ 5+ 47-	2+  0 5+  4 -2 -3 -6  6
Curve Equation t 75200q1 [0,0,0,-50,-750] 1
75200r (2 curves)	0	2+ 5+ 47-	2+  1 5+  1  0  2 -3 -2
Curve Equation t 75200r1 [0,1,0,-73,223] 1 75200r2 [0,1,0,327,1103] 1
75200s (1 curve)	0	2+ 5+ 47-	2+  1 5+  1  3 -5 -2  7
Curve Equation t 75200s1 [0,1,0,-69633,7008863] 1
75200t (2 curves)	0	2+ 5+ 47-	2+  1 5+  1 -3  5 -6  1
Curve Equation t 75200t1 [0,1,0,-9236033,10800716063] 1 75200t2 [0,1,0,-10156033,8518036063] 1
75200u (2 curves)	0	2+ 5+ 47-	2+  1 5+ -5  3  5  0  7
Curve Equation t 75200u1 [0,1,0,-57633,5292863] 1 75200u2 [0,1,0,-281633,-53171137] 1
75200v (1 curve)	2	2+ 5+ 47-	2+ -1 5+ -1  1 -5 -2  5
Curve Equation t Generators 75200v1 [0,-1,0,-2033,33937] 1 [-43:200:1]&[-3:200:1]
75200w (1 curve)	2	2+ 5+ 47-	2+ -1 5+ -4 -5  4 -5 -1
Curve Equation t Generators 75200w1 [0,-1,0,-49153,4243457] 1 [-104:2867:1]&[1:2048:1]
75200x (1 curve)	0	2+ 5+ 47-	2+ -2 5+ -2  0 -5 -8  4
Curve Equation t 75200x1 [0,1,0,2161867,-64390637] 1
75200y (1 curve)	0	2+ 5+ 47-	2+  3 5+ -1 -6 -2 -3 -8
Curve Equation t 75200y1 [0,0,0,20,-40] 1
75200z (1 curve)	0	2+ 5+ 47-	2+  3 5+  2  5  0  3 -3
Curve Equation t 75200z1 [0,0,0,72500,-59650000] 1
75200ba (1 curve)	0	2+ 5+ 47-	2+  3 5+  3 -5  5  2 -1
Curve Equation t 75200ba1 [0,0,0,-10300,398000] 1
75200bb (1 curve)	0	2+ 5+ 47-	2+ -3 5+ -1  3  1  0  7
Curve Equation t 75200bb1 [0,0,0,-88300,-10082000] 1
75200bc (1 curve)	0	2+ 5+ 47-	2+ -3 5+  3  1 -1  8  5
Curve Equation t 75200bc1 [0,0,0,-186700,7174000] 1
75200bd (1 curve)	0	2+ 5+ 47-	2+ -3 5+  5 -1  3  6  3
Curve Equation t 75200bd1 [0,0,0,-175,-500] 1
75200be (2 curves)	0	2+ 5- 47+	2+  0 5-  0 -4  4  0 -4
Curve Equation t 75200be1 [0,0,0,-368000,85925000] 2 75200be2 [0,0,0,-365500,87150000] 2
75200bf (1 curve)	2	2+ 5- 47+	2+  1 5- -3  3 -5 -4 -5
Curve Equation t Generators 75200bf1 [0,1,0,-273,1583] 1 [-17:40:1]&[7:8:1]
75200bg (1 curve)	0	2+ 5- 47+	2+  1 5-  4 -5 -4  5 -1
Curve Equation t 75200bg1 [0,1,0,-1228833,527974463] 1
75200bh (1 curve)	0	2+ 5- 47+	2+ -1 5-  1  1  1 -6  1
Curve Equation t 75200bh1 [0,-1,0,-136833,18721537] 1
75200bi (2 curves)	0	2+ 5- 47+	2+ -1 5- -1  0 -2  3 -2
Curve Equation t 75200bi1 [0,-1,0,-1833,31537] 1 75200bi2 [0,-1,0,8167,121537] 1
75200bj (2 curves)	0	2+ 5- 47+	2+ -1 5- -3  3 -1  2 -5
Curve Equation t 75200bj1 [0,-1,0,-6204833,-5946922463] 1 75200bj2 [0,-1,0,-14244833,12247357537] 1
75200bk (1 curve)	0	2+ 5- 47+	2+ -1 5-  5  5  1 -2 -3
Curve Equation t 75200bk1 [0,-1,0,-4993,-134143] 1
75200bl (1 curve)	0	2+ 5- 47+	2+  2 5-  0 -6 -1 -4  4
Curve Equation t 75200bl1 [0,-1,0,2667,25037] 1
75200bm (1 curve)	0	2+ 5- 47+	2+ -2 5- -4 -2 -1  0 -8
Curve Equation t 75200bm1 [0,1,0,-10373,-410717] 1
75200bn (1 curve)	0	2+ 5- 47+	2+  3 5- -3  5  1 -6  5
Curve Equation t 75200bn1 [0,0,0,-460,-400] 1
75200bo (1 curve)	0	2+ 5- 47+	2+ -3 5-  1 -6  2  3 -8
Curve Equation t 75200bo1 [0,0,0,500,-5000] 1
75200bp (1 curve)	0	2+ 5- 47+	2+ -3 5- -2  5  0 -3 -3
Curve Equation t 75200bp1 [0,0,0,2900,-477200] 1
75200bq (2 curves)	1	2+ 5- 47-	2+  0 5-  0 -4 -4  0 -4
Curve Equation t Generators 75200bq1 [0,0,0,-14720,687400] 2 [106:564:1] 75200bq2 [0,0,0,-14620,697200] 2 [-46:1128:1]
75200br (1 curve)	1	2+ 5- 47-	2+  1 5-  0 -5  4 -3  7
Curve Equation t Generators 75200br1 [0,1,0,-2764833,1768582463] 1 [1162:11233:1]
75200bs (1 curve)	1	2+ 5- 47-	2+  1 5- -1  1 -1  6  1
Curve Equation t Generators 75200bs1 [0,1,0,-5473,147583] 1 [18:235:1]
75200bt (2 curves)	1	2+ 5- 47-	2+  1 5-  3  3  1 -2 -5
Curve Equation t Generators 75200bt1 [0,1,0,-248193,-47674657] 1 [-1201769527:1536800:4173281] 75200bt2 [0,1,0,-569793,97750943] 1 [73:7520:1]
75200bu (1 curve)	1	2+ 5- 47-	2+  1 5- -3  4 -2  3 -2
Curve Equation t Generators 75200bu1 [0,1,0,-33,263] 1 [34:199:1]
75200bv (1 curve)	1	2+ 5- 47-	2+  1 5- -4 -1 -4 -3 -5
Curve Equation t Generators 75200bv1 [0,1,0,19167,70463] 1 [58:1175:1]
75200bw (1 curve)	1	2+ 5- 47-	2+  1 5- -5  5 -1  2 -3
Curve Equation t Generators 75200bw1 [0,1,0,-124833,-17017537] 1 [-272602:21625:1331]
75200bx (1 curve)	1	2+ 5- 47-	2+ -1 5-  3  3  5  4 -5
Curve Equation t Generators 75200bx1 [0,-1,0,-6833,211537] 1 [117:1000:1]
75200by (1 curve)	1	2+ 5- 47-	2+  2 5-  4 -2  1  0 -8
Curve Equation t Generators 75200by1 [0,-1,0,-259333,-50820963] 1 [4967993339292:41164420151375:8012006001]
75200bz (1 curve)	1	2+ 5- 47-	2+ -2 5-  0 -6  1  4  4
Curve Equation t Generators 75200bz1 [0,1,0,107,243] 1 [-2:5:1]
75200ca (1 curve)	1	2+ 5- 47-	2+  3 5-  2 -5  0 -3  3
Curve Equation t Generators 75200ca1 [0,0,0,2900,477200] 1 [-1248:13348:27]
75200cb (1 curve)	1	2+ 5- 47-	2+ -3 5-  3  5 -1  6  5
Curve Equation t Generators 75200cb1 [0,0,0,-11500,-50000] 1 [-75:625:1]
75200cc (2 curves)	0	2- 5+ 47+	2-  0 5+  0  2 -4  2 -2
Curve Equation t 75200cc1 [0,0,0,500,42000] 2 75200cc2 [0,0,0,-15500,714000] 2
75200cd (1 curve)	2	2- 5+ 47+	2-  1 5+  1 -1 -5 -2 -5
Curve Equation t Generators 75200cd1 [0,1,0,-2033,-33937] 1 [-31:16:1]&[-22:25:1]
75200ce (1 curve)	2	2- 5+ 47+	2-  1 5+ -3 -5 -5  6 -1
Curve Equation t Generators 75200ce1 [0,1,0,-1408,-9062] 1 [-27:100:1]&[2313:111250:1]
75200cf (1 curve)	0	2- 5+ 47+	2-  1 5+  4  5  4 -5  1
Curve Equation t 75200cf1 [0,1,0,-49153,-4243457] 1
75200cg (2 curves)	0	2- 5+ 47+	2- -1 5+ -1  0  2 -3  2
Curve Equation t 75200cg1 [0,-1,0,-73,-223] 1 75200cg2 [0,-1,0,327,-1103] 1
75200ch (2 curves)	0	2- 5+ 47+	2- -1 5+ -1  3  5 -6 -1
Curve Equation t 75200ch1 [0,-1,0,-9236033,-10800716063] 1 75200ch2 [0,-1,0,-10156033,-8518036063] 1
75200ci (1 curve)	2	2- 5+ 47+	2- -1 5+ -1 -3 -5 -2 -7
Curve Equation t Generators 75200ci1 [0,-1,0,-69633,-7008863] 1 [-153:200:1]&[597:-12800:1]
75200cj (2 curves)	0	2- 5+ 47+	2- -1 5+  5 -3  5  0 -7
Curve Equation t 75200cj1 [0,-1,0,-57633,-5292863] 1 75200cj2 [0,-1,0,-281633,53171137] 1
75200ck (1 curve)	0	2- 5+ 47+	2-  2 5+  2  0 -5 -8 -4
Curve Equation t 75200ck1 [0,-1,0,2161867,64390637] 1
75200cl (1 curve)	0	2- 5+ 47+	2-  3 5+  1 -3  1  0 -7
Curve Equation t 75200cl1 [0,0,0,-88300,10082000] 1
75200cm (1 curve)	0	2- 5+ 47+	2-  3 5+ -3 -1 -1  8 -5
Curve Equation t 75200cm1 [0,0,0,-186700,-7174000] 1
75200cn (1 curve)	0	2- 5+ 47+	2- -3 5+  1  6 -2 -3  8
Curve Equation t 75200cn1 [0,0,0,20,40] 1
75200co (1 curve)	0	2- 5+ 47+	2- -3 5+ -3  5  5  2  1
Curve Equation t 75200co1 [0,0,0,-10300,-398000] 1
75200cp (1 curve)	1	2- 5+ 47-	2-  1 5+  0  5 -4  3 -7
Curve Equation t Generators 75200cp1 [0,1,0,-110593,-14192897] 1 [1965367965:20761613056:4492125]
75200cq (1 curve)	1	2- 5+ 47-	2-  1 5+  1  3  3 -6 -1
Curve Equation t Generators 75200cq1 [0,1,0,-5681633,5210664863] 1 [1319:3616:1]
75200cr (1 curve)	1	2- 5+ 47-	2-  1 5+  1 -3 -3  6 -7
Curve Equation t Generators 75200cr1 [0,1,0,-8033,-147937] 1 [263:4000:1]
75200cs (1 curve)	1	2- 5+ 47-	2-  1 5+ -1  1 -5  0  5
Curve Equation t Generators 75200cs1 [0,1,0,-156033,-20631937] 1 [-257:1600:1]
75200ct (1 curve)	1	2- 5+ 47-	2-  1 5+ -1  3  1 -4 -1
Curve Equation t Generators 75200ct1 [0,1,0,-1633,8863] 1 [63:-400:1]
75200cu (1 curve)	1	2- 5+ 47-	2-  1 5+ -3 -4  2 -3  2
Curve Equation t Generators 75200cu1 [0,1,0,-833,-34537] 1 [5225346:442420831:729]
75200cv (1 curve)	1	2- 5+ 47-	2-  1 5+ -3 -5 -1 -2 -1
Curve Equation t Generators 75200cv1 [0,1,0,-17633,-887137] 1 [-73:128:1]
75200cw (1 curve)	1	2- 5+ 47-	2-  1 5+ -4  1  4  3  5
Curve Equation t Generators 75200cw1 [0,1,0,767,-257] 1 [129:1504:1]
75200cx (2 curves)	1	2- 5+ 47-	2- -1 5+ -1  3 -7  6 -1
Curve Equation t Generators 75200cx1 [0,-1,0,-707633,-228462863] 1 [-469:188:1] 75200cx2 [0,-1,0,-3151633,1947261137] 1 [731:5788:1]
75200cy (1 curve)	1	2- 5+ 47-	2- -1 5+  3  5 -5  6  1
Curve Equation t Generators 75200cy1 [0,-1,0,-1408,9062] 1 [187:2500:1]
75200cz (1 curve)	1	2- 5+ 47-	2-  2 5+ -2  0  5  4  0
Curve Equation t Generators 75200cz1 [0,-1,0,-10533,-506563] 1 [33821772:484094375:132651]
75200da (1 curve)	1	2- 5+ 47-	2- -2 5+  2  4  1  0 -4
Curve Equation t Generators 75200da1 [0,1,0,-4533,116563] 1 [38:25:1]
75200db (1 curve)	1	2- 5+ 47-	2- -2 5+ -2  0  3  0 -4
Curve Equation t Generators 75200db1 [0,1,0,367,-2387] 1 [28:175:1]
75200dc (2 curves)	1	2- 5- 47+	2-  0 5-  0  4 -4  0  4
Curve Equation t Generators 75200dc1 [0,0,0,-14720,-687400] 2 [276650:3044660:1331] 75200dc2 [0,0,0,-14620,-697200] 2 [19060391559:-209895373893:91733851]
75200dd (1 curve)	1	2- 5- 47+	2-  1 5-  1  1 -3  8 -7
Curve Equation t Generators 75200dd1 [0,1,0,-1208,15338] 1 [17:2:1]
75200de (1 curve)	1	2- 5- 47+	2-  1 5-  1 -1  3 -8  7
Curve Equation t Generators 75200de1 [0,1,0,-48,-142] 1 [13:40:1]
75200df (1 curve)	1	2- 5- 47+	2-  1 5- -3 -3  5  4  5
Curve Equation t Generators 75200df1 [0,1,0,-6833,-211537] 1 [-43:68:1]
75200dg (1 curve)	1	2- 5- 47+	2- -1 5-  0  5  4 -3 -7
Curve Equation t Generators 75200dg1 [0,-1,0,-2764833,-1768582463] 1 [18877463:2231870576:1331]
75200dh (1 curve)	1	2- 5- 47+	2- -1 5-  1 -1 -1  6 -1
Curve Equation t Generators 75200dh1 [0,-1,0,-5473,-147583] 1 [-43:80:1]
75200di (1 curve)	1	2- 5- 47+	2- -1 5-  3 -4 -2  3  2
Curve Equation t Generators 75200di1 [0,-1,0,-33,-263] 1 [1080:589:125]
75200dj (2 curves)	1	2- 5- 47+	2- -1 5- -3 -3  1 -2  5
Curve Equation t Generators 75200dj1 [0,-1,0,-248193,47674657] 1 [277:320:1] 75200dj2 [0,-1,0,-569793,-97750943] 1 [-603:5120:1]
75200dk (1 curve)	1	2- 5- 47+	2- -1 5-  4  1 -4 -3  5
Curve Equation t Generators 75200dk1 [0,-1,0,19167,-70463] 1 [1117:37600:1]
75200dl (1 curve)	1	2- 5- 47+	2- -1 5-  5 -5 -1  2  3
Curve Equation t Generators 75200dl1 [0,-1,0,-124833,17017537] 1 [117:2000:1]
75200dm (1 curve)	1	2- 5- 47+	2-  2 5-  0  6  1  4 -4
Curve Equation t Generators 75200dm1 [0,-1,0,107,-243] 1 [804:4555:27]
75200dn (1 curve)	1	2- 5- 47+	2- -2 5- -4  2  1  0  8
Curve Equation t Generators 75200dn1 [0,1,0,-259333,50820963] 1 [958:26125:1]
75200do (1 curve)	1	2- 5- 47+	2-  3 5- -3 -5 -1  6 -5
Curve Equation t Generators 75200do1 [0,0,0,-11500,50000] 1 [-2850:8000:27]
75200dp (1 curve)	1	2- 5- 47+	2- -3 5- -3  3 -5  4  3
Curve Equation t Generators 75200dp1 [0,0,0,-95875,11425000] 1 [200:500:1]
75200dq (1 curve)	1	2- 5- 47+	2- -3 5- -3 -3  5 -4 -3
Curve Equation t Generators 75200dq1 [0,0,0,-3835,-91400] 1 [-36:2:1]
75200dr (2 curves)	0	2- 5- 47-	2-  0 5-  0  4  4  0  4
Curve Equation t 75200dr1 [0,0,0,-368000,-85925000] 2 75200dr2 [0,0,0,-365500,-87150000] 2
75200ds (2 curves)	0	2- 5- 47-	2-  1 5-  1  0 -2  3  2
Curve Equation t 75200ds1 [0,1,0,-1833,-31537] 1 75200ds2 [0,1,0,8167,-121537] 1
75200dt (1 curve)	2	2- 5- 47-	2-  1 5- -1 -1  1 -6 -1
Curve Equation t Generators 75200dt1 [0,1,0,-136833,-18721537] 1 [-233:752:1]&[583:10000:1]
75200du (2 curves)	0	2- 5- 47-	2-  1 5-  3 -3 -1  2  5
Curve Equation t 75200du1 [0,1,0,-6204833,5946922463] 1 75200du2 [0,1,0,-14244833,-12247357537] 1
75200dv (1 curve)	2	2- 5- 47-	2-  1 5- -5 -5  1 -2  3
Curve Equation t Generators 75200dv1 [0,1,0,-4993,134143] 1 [39:-16:1]&[33:80:1]
75200dw (1 curve)	2	2- 5- 47-	2- -1 5- -1  1  3 -8 -7
Curve Equation t Generators 75200dw1 [0,-1,0,-48,142] 1 [3:4:1]&[7:10:1]
75200dx (1 curve)	0	2- 5- 47-	2- -1 5- -1 -1 -3  8  7
Curve Equation t 75200dx1 [0,-1,0,-1208,-15338] 1
75200dy (1 curve)	2	2- 5- 47-	2- -1 5-  3 -3 -5 -4  5
Curve Equation t Generators 75200dy1 [0,-1,0,-273,-1583] 1 [-9:8:1]&[-8:5:1]
75200dz (1 curve)	0	2- 5- 47-	2- -1 5- -4  5 -4  5  1
Curve Equation t 75200dz1 [0,-1,0,-1228833,-527974463] 1
75200ea (1 curve)	0	2- 5- 47-	2-  2 5-  4  2 -1  0  8
Curve Equation t 75200ea1 [0,-1,0,-10373,410717] 1
75200eb (1 curve)	0	2- 5- 47-	2- -2 5-  0  6 -1 -4 -4
Curve Equation t 75200eb1 [0,1,0,2667,-25037] 1
75200ec (1 curve)	0	2- 5- 47-	2-  3 5- -1  6  2  3  8
Curve Equation t 75200ec1 [0,0,0,500,5000] 1
75200ed (1 curve)	0	2- 5- 47-	2-  3 5-  3  3  5 -4  3
Curve Equation t 75200ed1 [0,0,0,-3835,91400] 1
75200ee (1 curve)	0	2- 5- 47-	2-  3 5-  3 -3 -5  4 -3
Curve Equation t 75200ee1 [0,0,0,-95875,-11425000] 1
75200ef (1 curve)	2	2- 5- 47-	2- -3 5-  3 -5  1 -6 -5
Curve Equation t Generators 75200ef1 [0,0,0,-460,400] 1 [-20:40:1]&[-14:64:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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