Cremona's table of elliptic curves

73200 = 2⁴ · 3 · 5² · 61

Class	r	Atkin-Lehner	Eigenvalues
73200a (1 curve)	1	2+ 3+ 5+ 61+	2+ 3+ 5+  1 -2 -5 -6 -6
Curve Equation t Generators 73200a1 [0,-1,0,-408,-8688] 1 [32:100:1]
73200b (1 curve)	1	2+ 3+ 5+ 61+	2+ 3+ 5+  1  4  4  0  3
Curve Equation t Generators 73200b1 [0,-1,0,-101033,12394437] 1 [172:275:1]
73200c (2 curves)	1	2+ 3+ 5+ 61+	2+ 3+ 5+  2  0  2  4 -4
Curve Equation t Generators 73200c1 [0,-1,0,-9883,378262] 2 [1282:45750:1] 73200c2 [0,-1,0,-17508,-277488] 2 [-103:650:1]
73200d (2 curves)	1	2+ 3+ 5+ 61+	2+ 3+ 5+  2  0 -6  0 -4
Curve Equation t Generators 73200d1 [0,-1,0,-30883,-1963238] 2 [5322:388000:1] 73200d2 [0,-1,0,-486508,-130449488] 2 [877:10800:1]
73200e (1 curve)	1	2+ 3+ 5+ 61+	2+ 3+ 5+  2  6 -4 -5 -4
Curve Equation t Generators 73200e1 [0,-1,0,392,-2288] 1 [8:36:1]
73200f (2 curves)	1	2+ 3+ 5+ 61+	2+ 3+ 5+  2 -6  6  6 -4
Curve Equation t Generators 73200f1 [0,-1,0,-908,69312] 2 [13:244:1] 73200f2 [0,-1,0,-31408,2143312] 2 [72:500:1]
73200g (2 curves)	1	2+ 3+ 5+ 61+	2+ 3+ 5+ -2  2 -2  2  4
Curve Equation t Generators 73200g1 [0,-1,0,-1908,-38688] 2 [68:376:1] 73200g2 [0,-1,0,-32408,-2234688] 2 [-104:8:1]
73200h (2 curves)	1	2+ 3+ 5+ 61+	2+ 3+ 5+ -2 -6  2  2  4
Curve Equation t Generators 73200h1 [0,-1,0,-383,762] 2 [22:50:1] 73200h2 [0,-1,0,1492,4512] 2 [241:3782:1]
73200i (1 curve)	1	2+ 3+ 5+ 61+	2+ 3+ 5+  4  5 -5 -1 -8
Curve Equation t Generators 73200i1 [0,-1,0,32,-3173] 1 [21071:3058563:1]
73200j (1 curve)	1	2+ 3+ 5+ 61+	2+ 3+ 5+ -4 -6 -1 -5 -7
Curve Equation t Generators 73200j1 [0,-1,0,-822408,-288032688] 1 [4362:281250:1]
73200k (4 curves)	0	2+ 3+ 5+ 61-	2+ 3+ 5+  0  0  2 -6 -4
Curve Equation t 73200k1 [0,-1,0,-28983,-2347038] 2 73200k2 [0,-1,0,-494108,-133512288] 4 73200k3 [0,-1,0,-524608,-116066288] 2 73200k4 [0,-1,0,-7905608,-8552976288] 2
73200l (1 curve)	2	2+ 3+ 5+ 61-	2+ 3+ 5+ -2 -4 -5 -3 -1
Curve Equation t Generators 73200l1 [0,-1,0,-1408,25312] 1 [12:100:1]&[-38:150:1]
73200m (1 curve)	0	2+ 3+ 5+ 61-	2+ 3+ 5+ -2 -5 -1 -3  4
Curve Equation t 73200m1 [0,-1,0,-208,8287] 1
73200n (1 curve)	0	2+ 3+ 5+ 61-	2+ 3+ 5+  3  3  5  6  8
Curve Equation t 73200n1 [0,-1,0,-8,4512] 1
73200o (2 curves)	0	2+ 3+ 5+ 61-	2+ 3+ 5+  4  2 -2 -4  4
Curve Equation t 73200o1 [0,-1,0,1517,-3038] 2 73200o2 [0,-1,0,-6108,-18288] 2
73200p (4 curves)	0	2+ 3+ 5+ 61-	2+ 3+ 5+  4  4  2 -6  4
Curve Equation t 73200p1 [0,-1,0,-41383,-3226238] 2 73200p2 [0,-1,0,-44508,-2707488] 4 73200p3 [0,-1,0,107992,-17347488] 2 73200p4 [0,-1,0,-247008,45082512] 4
73200q (2 curves)	0	2+ 3+ 5+ 61-	2+ 3+ 5+ -4  6  6  0  4
Curve Equation t 73200q1 [0,-1,0,117,-12738] 2 73200q2 [0,-1,0,-7508,-241488] 2
73200r (1 curve)	0	2+ 3+ 5- 61+	2+ 3+ 5- -3  4  4 -6 -5
Curve Equation t 73200r1 [0,-1,0,-273,-1683] 1
73200s (1 curve)	0	2+ 3+ 5- 61+	2+ 3+ 5- -3 -4  1  0 -2
Curve Equation t 73200s1 [0,-1,0,41792,-565088] 1
73200t (1 curve)	0	2+ 3- 5+ 61+	2+ 3- 5+ -1  4 -4  4 -5
Curve Equation t 73200t1 [0,1,0,-1960633,6713969363] 1
73200u (2 curves)	0	2+ 3- 5+ 61+	2+ 3- 5+  2  4  2  4  4
Curve Equation t 73200u1 [0,1,0,-3883,-55012] 2 73200u2 [0,1,0,-54508,-4915012] 2
73200v (2 curves)	0	2+ 3- 5+ 61+	2+ 3- 5+  2  4  2 -8  4
Curve Equation t 73200v1 [0,1,0,-883,1988] 2 73200v2 [0,1,0,-8508,-303012] 2
73200w (2 curves)	1	2+ 3- 5+ 61-	2+ 3- 5+  0  2 -2  4  4
Curve Equation t Generators 73200w1 [0,1,0,-483,-4212] 2 [308:5400:1] 73200w2 [0,1,0,-108,-10212] 2 [157576:2766825:512]
73200x (2 curves)	1	2+ 3- 5+ 61-	2+ 3- 5+  0 -2  6  0  4
Curve Equation t Generators 73200x1 [0,1,0,-1435883,-214765512] 2 [6328:494100:1] 73200x2 [0,1,0,5398492,-1663653012] 2 [1279:85644:1]
73200y (1 curve)	1	2+ 3- 5+ 61-	2+ 3- 5+ -3  5  1 -2  4
Curve Equation t Generators 73200y1 [0,1,0,40992,-762012] 1 [24:486:1]
73200z (4 curves)	1	2+ 3- 5+ 61-	2+ 3- 5+  4  0  2 -2 -4
Curve Equation t Generators 73200z1 [0,1,0,-13383,-595512] 2 [1548:60750:1] 73200z2 [0,1,0,-23508,416988] 4 [12394:485625:8] 73200z3 [0,1,0,88992,3341988] 2 [512:13542:1] 73200z4 [0,1,0,-298008,62453988] 2 [78:6300:1]
73200ba (4 curves)	1	2+ 3- 5+ 61-	2+ 3- 5+ -4  0  2  6 -4
Curve Equation t Generators 73200ba1 [0,1,0,-2383,13988] 2 [128:1350:1] 73200ba2 [0,1,0,-30508,2038988] 4 [1274:8925:8] 73200ba3 [0,1,0,-23008,3073988] 2 [352:6222:1] 73200ba4 [0,1,0,-488008,131053988] 2 [16214362:13104525:39304]
73200bb (1 curve)	1	2+ 3- 5- 61+	2+ 3- 5-  3  4 -4  6 -5
Curve Equation t Generators 73200bb1 [0,1,0,-6833,-224037] 1 [10558:1084875:1]
73200bc (1 curve)	1	2+ 3- 5- 61+	2+ 3- 5-  3 -4 -1  0 -2
Curve Equation t Generators 73200bc1 [0,1,0,1672,-3852] 1 [58:540:1]
73200bd (1 curve)	1	2+ 3- 5- 61+	2+ 3- 5- -4  5  5  1 -8
Curve Equation t Generators 73200bd1 [0,1,0,792,-395037] 1 [333:6075:1]
73200be (1 curve)	0	2+ 3- 5- 61-	2+ 3- 5-  2 -5  1  3  4
Curve Equation t 73200be1 [0,1,0,-8,63] 1
73200bf (1 curve)	0	2- 3+ 5+ 61+	2- 3+ 5+  1 -2 -5 -6  6
Curve Equation t 73200bf1 [0,-1,0,-957008,-361447488] 1
73200bg (2 curves)	0	2- 3+ 5+ 61+	2- 3+ 5+  2 -2  2  2 -4
Curve Equation t 73200bg1 [0,-1,0,-433,-2888] 2 73200bg2 [0,-1,0,692,-16388] 2
73200bh (1 curve)	0	2- 3+ 5+ 61+	2- 3+ 5+  2 -2 -4 -1 -4
Curve Equation t 73200bh1 [0,-1,0,-2838408,1842051312] 1
73200bi (2 curves)	0	2- 3+ 5+ 61+	2- 3+ 5+  2 -2  6 -6 -4
Curve Equation t 73200bi1 [0,-1,0,45592,-8300688] 2 73200bi2 [0,-1,0,-442408,-98092688] 2
73200bj (1 curve)	0	2- 3+ 5+ 61+	2- 3+ 5+ -2  4  1 -3  3
Curve Equation t 73200bj1 [0,-1,0,-557008,198296512] 1
73200bk (2 curves)	0	2- 3+ 5+ 61+	2- 3+ 5+ -2  4 -2  0  0
Curve Equation t 73200bk1 [0,-1,0,-1133,4512] 2 73200bk2 [0,-1,0,-10508,-407988] 2
73200bl (1 curve)	0	2- 3+ 5+ 61+	2- 3+ 5+  3  4 -4 -8 -7
Curve Equation t 73200bl1 [0,-1,0,-184133,93902637] 1
73200bm (1 curve)	0	2- 3+ 5+ 61+	2- 3+ 5+  5  4  0  0 -1
Curve Equation t 73200bm1 [0,-1,0,467,-26063] 1
73200bn (4 curves)	1	2- 3+ 5+ 61-	2- 3+ 5+  0  0  2  2  4
Curve Equation t Generators 73200bn1 [0,-1,0,-23008,-1335488] 2 [232:2400:1] 73200bn2 [0,-1,0,-25008,-1087488] 4 [-112:544:1] 73200bn3 [0,-1,0,64992,-7207488] 4 [1354:23477:8] 73200bn4 [0,-1,0,-147008,20872512] 2 [-368:5000:1]
73200bo (2 curves)	1	2- 3+ 5+ 61-	2- 3+ 5+  0  0 -6  6 -8
Curve Equation t Generators 73200bo1 [0,-1,0,-703633,226859512] 2 [-2454:162725:8] 73200bo2 [0,-1,0,-11250508,14528422012] 2 [280642182:7571374925:97336]
73200bp (2 curves)	1	2- 3+ 5+ 61-	2- 3+ 5+  0 -2  2  4 -4
Curve Equation t Generators 73200bp1 [0,-1,0,-3533,40812] 2 [8:114:1] 73200bp2 [0,-1,0,12092,290812] 2 [6314:179037:8]
73200bq (6 curves)	1	2- 3+ 5+ 61-	2- 3+ 5+  0  4  2 -2 -4
Curve Equation t Generators 73200bq1 [0,-1,0,2889992,29736038512] 2 [134818444327005252:-11611261632117735424:21855709135079] 73200bq2 [0,-1,0,-128182008,541441126512] 4 [65048723:2899348300:6859] 73200bq3 [0,-1,0,-320182008,-1461502873488] 2 [-844796789638556:-79304593110368263:122319393344] 73200bq4 [0,-1,0,-2033334008,35291413606512] 4 [3159585181054153068:-12791164214800000000:123126934336749] 73200bq5 [0,-1,0,-2015766008,35931169894512] 2 [2081773067815619686521663:-288623733549294018301166076:118469665846443467863] 73200bq6 [0,-1,0,-32533334008,2258619413606512] 2 [428367124892:-3471522300000:4173281]
73200br (1 curve)	1	2- 3+ 5+ 61-	2- 3+ 5+  0 -6 -3  3  1
Curve Equation t Generators 73200br1 [0,-1,0,-10008,-6937488] 1 [2772:145800:1]
73200bs (1 curve)	1	2- 3+ 5+ 61-	2- 3+ 5+  3 -2 -1 -2  2
Curve Equation t Generators 73200bs1 [0,-1,0,-10008,838512] 1 [82:750:1]
73200bt (1 curve)	1	2- 3+ 5+ 61-	2- 3+ 5+ -3  1  5 -2  8
Curve Equation t Generators 73200bt1 [0,-1,0,-12808,-623888] 1 [1858:79914:1]
73200bu (4 curves)	1	2- 3+ 5+ 61-	2- 3+ 5+  4  4  2 -6 -4
Curve Equation t Generators 73200bu1 [0,-1,0,-608,83712] 2 [1828:19075:64] 73200bu2 [0,-1,0,-32608,2259712] 4 [37:1050:1] 73200bu3 [0,-1,0,-56608,-1484288] 2 [-27:154:1] 73200bu4 [0,-1,0,-520608,144755712] 2 [192:7200:1]
73200bv (1 curve)	1	2- 3+ 5+ 61-	2- 3+ 5+ -5 -5 -1  6  2
Curve Equation t Generators 73200bv1 [0,-1,0,-2508,-47988] 1 [213:3006:1]
73200bw (2 curves)	1	2- 3+ 5- 61+	2- 3+ 5-  0  2 -4 -2  0
Curve Equation t Generators 73200bw1 [0,-1,0,-163208,-16355088] 2 [5386:106875:8] 73200bw2 [0,-1,0,476792,-113635088] 2 [509410:-16161039:1000]
73200bx (1 curve)	1	2- 3+ 5- 61+	2- 3+ 5- -1  4  4 -2  5
Curve Equation t Generators 73200bx1 [0,-1,0,79307,26095357] 1 [-30472428:818726425:226981]
73200by (1 curve)	1	2- 3+ 5- 61+	2- 3+ 5-  3 -4 -4 -2 -3
Curve Equation t Generators 73200by1 [0,-1,0,107,157] 1 [12:55:1]
73200bz (1 curve)	1	2- 3+ 5- 61+	2- 3+ 5- -3 -4  5 -8  6
Curve Equation t Generators 73200bz1 [0,-1,0,-438208,112294912] 1 [2592:128000:1]
73200ca (1 curve)	1	2- 3+ 5- 61+	2- 3+ 5- -4  1  1  3 -8
Curve Equation t Generators 73200ca1 [0,-1,0,-3958,98287] 1 [41:57:1]
73200cb (2 curves)	1	2- 3+ 5- 61+	2- 3+ 5- -4  4 -2 -2 -4
Curve Equation t Generators 73200cb1 [0,-1,0,-12968,-570768] 2 [2692:139520:1] 73200cb2 [0,-1,0,-208168,-36487568] 2 [21658:1109511:8]
73200cc (1 curve)	0	2- 3+ 5- 61-	2- 3+ 5- -1  4 -3  4  6
Curve Equation t 73200cc1 [0,-1,0,-1562208,4404102912] 1
73200cd (2 curves)	0	2- 3+ 5- 61-	2- 3+ 5- -2  3  5 -3  4
Curve Equation t 73200cd1 [0,-1,0,542,-713] 1 73200cd2 [0,-1,0,-6958,246787] 1
73200ce (1 curve)	1	2- 3- 5+ 61+	2- 3- 5+  1 -4 -4 -4  1
Curve Equation t Generators 73200ce1 [0,1,0,-2533,180563] 1 [38:375:1]
73200cf (2 curves)	1	2- 3- 5+ 61+	2- 3- 5+  2  2  2  6 -4
Curve Equation t Generators 73200cf1 [0,1,0,-263033,-41876562] 2 [778:15000:1] 73200cf2 [0,1,0,557092,-250188312] 2 [4267:282552:1]
73200cg (2 curves)	1	2- 3- 5+ 61+	2- 3- 5+ -2  0  6  0  0
Curve Equation t Generators 73200cg1 [0,1,0,-733,-5962] 2 [38:150:1] 73200cg2 [0,1,0,-4108,95288] 2 [287:4758:1]
73200ch (2 curves)	1	2- 3- 5+ 61+	2- 3- 5+ -2  2  2  2  4
Curve Equation t Generators 73200ch1 [0,1,0,19992,-816012] 2 [99:1464:1] 73200ch2 [0,1,0,-102008,-7404012] 2 [-122:1800:1]
73200ci (2 curves)	1	2- 3- 5+ 61+	2- 3- 5+ -2 -2  2  6  4
Curve Equation t Generators 73200ci1 [0,1,0,-39008,-39408012] 2 [634:13824:1] 73200ci2 [0,1,0,-1991008,-1073968012] 2 [-838:2592:1]
73200cj (1 curve)	1	2- 3- 5+ 61+	2- 3- 5+ -2  4  5 -3 -5
Curve Equation t Generators 73200cj1 [0,1,0,12992,-424012] 1 [428:9150:1]
73200ck (1 curve)	1	2- 3- 5+ 61+	2- 3- 5+ -2 -6  0 -3  0
Curve Equation t Generators 73200ck1 [0,1,0,-365008,85507988] 1 [-478:12288:1]
73200cl (1 curve)	1	2- 3- 5+ 61+	2- 3- 5+  4  1 -1 -3 -8
Curve Equation t Generators 73200cl1 [0,1,0,-158,723] 1 [7:3:1]
73200cm (1 curve)	1	2- 3- 5+ 61+	2- 3- 5+ -4  2 -1  3  5
Curve Equation t Generators 73200cm1 [0,1,0,7592,-632812] 1 [278:4800:1]
73200cn (1 curve)	0	2- 3- 5+ 61-	2- 3- 5+  1  1  5 -2  0
Curve Equation t 73200cn1 [0,1,0,-82008,9011988] 1
73200co (2 curves)	0	2- 3- 5+ 61-	2- 3- 5+ -1  3  1  6  4
Curve Equation t 73200co1 [0,1,0,-1808,-165612] 1 73200co2 [0,1,0,16192,4334388] 1
73200cp (2 curves)	0	2- 3- 5+ 61-	2- 3- 5+  2  0  7 -3  7
Curve Equation t 73200cp1 [0,1,0,-261408,-51532812] 1 73200cp2 [0,1,0,-27408,-139192812] 1
73200cq (2 curves)	0	2- 3- 5+ 61-	2- 3- 5+  2  3 -5  3  4
Curve Equation t 73200cq1 [0,1,0,22,3] 1 73200cq2 [0,1,0,-278,1863] 1
73200cr (2 curves)	0	2- 3- 5+ 61-	2- 3- 5+ -2 -2 -4  7  0
Curve Equation t 73200cr1 [0,1,0,-2008,-268012] 1 73200cr2 [0,1,0,-206008,45163988] 1
73200cs (2 curves)	0	2- 3- 5+ 61-	2- 3- 5+ -4  0  2 -6  8
Curve Equation t 73200cs1 [0,1,0,-633,5238] 2 73200cs2 [0,1,0,-2508,-43512] 2
73200ct (2 curves)	0	2- 3- 5+ 61-	2- 3- 5+ -4  2  2  0  4
Curve Equation t 73200ct1 [0,1,0,-4533,115938] 2 73200ct2 [0,1,0,-3908,149688] 2
73200cu (1 curve)	0	2- 3- 5+ 61-	2- 3- 5+ -4  6  5  3  5
Curve Equation t 73200cu1 [0,1,0,-3502008,-2808420012] 1
73200cv (2 curves)	0	2- 3- 5+ 61-	2- 3- 5+  5 -6  1  6 -2
Curve Equation t 73200cv1 [0,1,0,13592,507188] 1 73200cv2 [0,1,0,-322408,71067188] 1
73200cw (2 curves)	0	2- 3- 5- 61+	2- 3- 5-  0  2  4  2  0
Curve Equation t 73200cw1 [0,1,0,-6528,-133452] 2 73200cw2 [0,1,0,19072,-901452] 2
73200cx (1 curve)	0	2- 3- 5- 61+	2- 3- 5-  1  4 -4  2  5
Curve Equation t 73200cx1 [0,1,0,1982667,3265884963] 1
73200cy (1 curve)	0	2- 3- 5- 61+	2- 3- 5-  3 -4 -5  8  6
Curve Equation t 73200cy1 [0,1,0,-17528,891348] 1
73200cz (1 curve)	0	2- 3- 5- 61+	2- 3- 5- -3 -4  4  2 -3
Curve Equation t 73200cz1 [0,1,0,2667,24963] 1
73200da (2 curves)	0	2- 3- 5- 61+	2- 3- 5-  4  4  2  2 -4
Curve Equation t 73200da1 [0,1,0,-324208,-71994412] 2 73200da2 [0,1,0,-5204208,-4571354412] 2
73200db (1 curve)	1	2- 3- 5- 61-	2- 3- 5-  1  4  3 -4  6
Curve Equation t Generators 73200db1 [0,1,0,-62488,35207828] 1 [188:-5490:1]

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