Cremona's table of elliptic curves

50310 = 2 · 3² · 5 · 13 · 43

Class	r	Atkin-Lehner	Eigenvalues
50310a (2 curves)	2	2+ 3+ 5+ 13- 43+	2+ 3+ 5+ -2 -2 13- -4  4
Curve Equation t Generators 50310a1 [1,-1,0,-405,-1375] 2 [-17:28:1]&[-10:45:1] 50310a2 [1,-1,0,-5475,-154489] 2 [-43:28:1]&[686:-85:8]
50310b (2 curves)	0	2+ 3+ 5- 13+ 43+	2+ 3+ 5- -2  6 13+  2  0
Curve Equation t 50310b1 [1,-1,0,-9384,-344512] 2 50310b2 [1,-1,0,-149784,-22274992] 2
50310c (2 curves)	1	2+ 3+ 5- 13+ 43-	2+ 3+ 5- -4  2 13+  8 -4
Curve Equation t Generators 50310c1 [1,-1,0,-354,-1340] 2 [-9:37:1] 50310c2 [1,-1,0,1146,-10640] 2 [41:-343:1]
50310d (2 curves)	1	2+ 3+ 5- 13- 43+	2+ 3+ 5-  2 -4 13-  4 -2
Curve Equation t Generators 50310d1 [1,-1,0,336,-3152] 2 [12:44:1] 50310d2 [1,-1,0,-2244,-30500] 2 [-34:92:1]
50310e (2 curves)	1	2+ 3+ 5- 13- 43+	2+ 3+ 5- -2  4 13-  0 -2
Curve Equation t Generators 50310e1 [1,-1,0,681,160925] 2 [14:-423:1] 50310e2 [1,-1,0,-40599,3075293] 2 [182:-1391:1]
50310f (2 curves)	1	2+ 3+ 5- 13- 43+	2+ 3+ 5- -2 -4 13-  0 -6
Curve Equation t Generators 50310f1 [1,-1,0,-275199,-55498995] 2 [1374:45777:1] 50310f2 [1,-1,0,-4403199,-3555217395] 2 [2449:17349:1]
50310g (2 curves)	1	2+ 3+ 5- 13- 43+	2+ 3+ 5- -2 -4 13- -6  6
Curve Equation t Generators 50310g1 [1,-1,0,-444,3708] 2 [9:15:1] 50310g2 [1,-1,0,-294,6138] 2 [9:-69:1]
50310h (2 curves)	0	2+ 3+ 5- 13- 43-	2+ 3+ 5-  0  0 13-  2 -8
Curve Equation t 50310h1 [1,-1,0,-77552657754,8312747592401460] 2 50310h2 [1,-1,0,-1240842872154,532014601871180340] 2
50310i (4 curves)	0	2+ 3+ 5- 13- 43-	2+ 3+ 5-  2  0 13-  0  2
Curve Equation t 50310i1 [1,-1,0,-33204,1484928] 6 50310i2 [1,-1,0,98616,10264140] 6 50310i3 [1,-1,0,-1110579,-450129547] 2 50310i4 [1,-1,0,-998259,-544860235] 2
50310j (4 curves)	0	2+ 3- 5+ 13+ 43+	2+ 3- 5+  0  4 13+  2  4
Curve Equation t 50310j1 [1,-1,0,5085,-30699] 2 50310j2 [1,-1,0,-20835,-232875] 4 50310j3 [1,-1,0,-203355,35139501] 2 50310j4 [1,-1,0,-253035,-48855555] 2
50310k (1 curve)	1	2+ 3- 5+ 13+ 43-	2+ 3- 5+  2  6 13+  0  7
Curve Equation t Generators 50310k1 [1,-1,0,30,260] 1 [-4:10:1]
50310l (2 curves)	1	2+ 3- 5+ 13+ 43-	2+ 3- 5+ -4  6 13+  2  8
Curve Equation t Generators 50310l1 [1,-1,0,75,161] 2 [7:28:1] 50310l2 [1,-1,0,-375,1691] 2 [-5:61:1]
50310m (4 curves)	1	2+ 3- 5+ 13- 43+	2+ 3- 5+  0  0 13-  6 -4
Curve Equation t Generators 50310m1 [1,-1,0,3690,-434700] 2 [20505:256809:125] 50310m2 [1,-1,0,-68310,-6439500] 4 [687:16104:1] 50310m3 [1,-1,0,-214110,30389580] 2 [117:2574:1] 50310m4 [1,-1,0,-1074510,-428439780] 2 [1207:5049:1]
50310n (6 curves)	1	2+ 3- 5+ 13- 43+	2+ 3- 5+  0 -4 13-  6 -4
Curve Equation t Generators 50310n1 [1,-1,0,-298800,-1336064] 2 [-103:5375:1] 50310n2 [1,-1,0,-3247920,2246483200] 4 [-169:52910:1] 50310n3 [1,-1,0,-1761840,4309459456] 2 [48:64976:1] 50310n4 [1,-1,0,-51919920,144008550400] 4 [3440:76400:1] 50310n5 [1,-1,0,-51873120,144281085520] 2 [3453:77804:1] 50310n6 [1,-1,0,-830718720,9215924252080] 2 [495744963:-247787596:29791]
50310o (2 curves)	1	2+ 3- 5+ 13- 43+	2+ 3- 5+  4 -2 13-  2  4
Curve Equation t Generators 50310o1 [1,-1,0,-1815,36125] 2 [31:79:1] 50310o2 [1,-1,0,-30615,2069405] 2 [91:130:1]
50310p (4 curves)	2	2+ 3- 5+ 13- 43-	2+ 3- 5+ -4 -4 13- -6  4
Curve Equation t Generators 50310p1 [1,-1,0,-1620,-24624] 2 [-23:20:1]&[57:228:1] 50310p2 [1,-1,0,-2340,0] 4 [-45:135:1]&[-39:195:1] 50310p3 [1,-1,0,9360,-7020] 2 [33:-597:1]&[21:435:1] 50310p4 [1,-1,0,-25560,1574316] 2 [-174:942:1]&[-147:1536:1]
50310q (2 curves)	1	2+ 3- 5- 13+ 43+	2+ 3- 5-  0  0 13+  0  0
Curve Equation t Generators 50310q1 [1,-1,0,-101799,-11668995] 2 [-219:402:1] 50310q2 [1,-1,0,-1599399,-778140675] 2 [-731:402:1]
50310r (2 curves)	1	2+ 3- 5- 13+ 43+	2+ 3- 5-  2  6 13+  2 -6
Curve Equation t Generators 50310r1 [1,-1,0,-82941849,290754485293] 2 [17:537899:1] 50310r2 [1,-1,0,-86685849,263070600493] 2 [-3381:14132873:27]
50310s (2 curves)	1	2+ 3- 5- 13+ 43+	2+ 3- 5- -2 -2 13+  2 -2
Curve Equation t Generators 50310s1 [1,-1,0,-15624,751680] 2 [51:-318:1] 50310s2 [1,-1,0,-249624,48066480] 2 [291:-213:1]
50310t (2 curves)	1	2+ 3- 5- 13+ 43+	2+ 3- 5- -2  4 13+ -4 -2
Curve Equation t Generators 50310t1 [1,-1,0,-889164,-925845552] 2 [551860939416:70409068212:433798093] 50310t2 [1,-1,0,-20703564,-36199440432] 2 [10689817086948367:-53070761479429398717:433798093]
50310u (2 curves)	1	2+ 3- 5- 13+ 43+	2+ 3- 5-  4  0 13+  0  4
Curve Equation t Generators 50310u1 [1,-1,0,-2349,-39695] 2 [-21:17:1] 50310u2 [1,-1,0,-8199,242275] 2 [69:4:1]
50310v (1 curve)	0	2+ 3- 5- 13+ 43-	2+ 3- 5-  1  1 13+  6  2
Curve Equation t 50310v1 [1,-1,0,171,85] 1
50310w (2 curves)	0	2+ 3- 5- 13+ 43-	2+ 3- 5-  2  0 13+  8  2
Curve Equation t 50310w1 [1,-1,0,327186,-800567852] 2 50310w2 [1,-1,0,-11192814,-13889591852] 2
50310x (2 curves)	0	2+ 3- 5- 13+ 43-	2+ 3- 5-  2 -2 13+  0 -6
Curve Equation t 50310x1 [1,-1,0,-326439,70418173] 2 50310x2 [1,-1,0,-5193639,4557003133] 2
50310y (2 curves)	0	2+ 3- 5- 13+ 43-	2+ 3- 5-  2 -4 13+ -4  2
Curve Equation t 50310y1 [1,-1,0,-82494,-9123692] 2 50310y2 [1,-1,0,-1320894,-583988972] 2
50310z (2 curves)	0	2+ 3- 5- 13+ 43-	2+ 3- 5-  2  6 13+ -4  2
Curve Equation t 50310z1 [1,-1,0,-21420774,38164550080] 2 50310z2 [1,-1,0,-342732024,2442279584830] 2
50310ba (2 curves)	0	2+ 3- 5- 13+ 43-	2+ 3- 5- -2  2 13+ -4  2
Curve Equation t 50310ba1 [1,-1,0,-79779924,240126735568] 2 50310ba2 [1,-1,0,-1231779924,16639768335568] 2
50310bb (2 curves)	0	2+ 3- 5- 13+ 43-	2+ 3- 5- -2 -2 13+  0  2
Curve Equation t 50310bb1 [1,-1,0,-163764,-25386980] 2 50310bb2 [1,-1,0,-239814,637330] 2
50310bc (2 curves)	0	2+ 3- 5- 13+ 43-	2+ 3- 5-  4  2 13+  2  2
Curve Equation t 50310bc1 [1,-1,0,-15039,-706055] 2 50310bc2 [1,-1,0,-13869,-821417] 2
50310bd (2 curves)	0	2+ 3- 5- 13+ 43-	2+ 3- 5- -4  2 13+  2  2
Curve Equation t 50310bd1 [1,-1,0,-99182619,380215481125] 2 50310bd2 [1,-1,0,-99163899,380366165893] 2
50310be (2 curves)	2	2+ 3- 5- 13+ 43-	2+ 3- 5- -4  2 13+ -2 -6
Curve Equation t Generators 50310be1 [1,-1,0,-371304,-84712640] 2 [-369:1582:1]&[-349:1682:1] 50310be2 [1,-1,0,96696,-284174240] 2 [1071:31822:1]&[1731:70322:1]
50310bf (1 curve)	0	2+ 3- 5- 13- 43+	2+ 3- 5-  1 -1 13-  6 -6
Curve Equation t 50310bf1 [1,-1,0,-13689,-1323027] 1
50310bg (2 curves)	0	2+ 3- 5- 13- 43+	2+ 3- 5-  2  2 13-  4 -2
Curve Equation t 50310bg1 [1,-1,0,-38709,2917813] 2 50310bg2 [1,-1,0,-67509,-1983947] 2
50310bh (2 curves)	1	2+ 3- 5- 13- 43-	2+ 3- 5-  0  6 13-  2 -2
Curve Equation t Generators 50310bh1 [1,-1,0,-4194,-48492] 2 [-51:201:1] 50310bh2 [1,-1,0,14526,-374220] 2 [45:585:1]
50310bi (2 curves)	2	2- 3+ 5+ 13+ 43+	2- 3+ 5+ -2 -6 13+ -2  0
Curve Equation t Generators 50310bi1 [1,-1,1,-1043,13107] 2 [23:-42:1]&[-13:162:1] 50310bi2 [1,-1,1,-16643,830547] 2 [75:-34:1]&[81:54:1]
50310bj (2 curves)	1	2- 3+ 5+ 13+ 43-	2- 3+ 5+ -4 -2 13+ -8 -4
Curve Equation t Generators 50310bj1 [1,-1,1,-3188,39367] 2 [-37:343:1] 50310bj2 [1,-1,1,10312,276967] 2 [17:667:1]
50310bk (2 curves)	1	2- 3+ 5+ 13- 43+	2- 3+ 5+  2  4 13- -4 -2
Curve Equation t Generators 50310bk1 [1,-1,1,3022,82081] 2 [-130:1411:8] 50310bk2 [1,-1,1,-20198,843697] 2 [5374:133559:8]
50310bl (2 curves)	1	2- 3+ 5+ 13- 43+	2- 3+ 5+ -2  4 13-  0 -6
Curve Equation t Generators 50310bl1 [1,-1,1,-2476793,1500949657] 2 [883:908:1] 50310bl2 [1,-1,1,-39628793,96030498457] 2 [3547:7352:1]
50310bm (2 curves)	1	2- 3+ 5+ 13- 43+	2- 3+ 5+ -2  4 13-  6  6
Curve Equation t Generators 50310bm1 [1,-1,1,-3998,-96119] 2 [125:1097:1] 50310bm2 [1,-1,1,-2648,-163079] 2 [7892:71045:64]
50310bn (2 curves)	1	2- 3+ 5+ 13- 43+	2- 3+ 5+ -2 -4 13-  0 -2
Curve Equation t Generators 50310bn1 [1,-1,1,6127,-4351103] 2 [323:-5752:1] 50310bn2 [1,-1,1,-365393,-82667519] 2 [-389:896:1]
50310bo (2 curves)	0	2- 3+ 5+ 13- 43-	2- 3+ 5+  0  0 13- -2 -8
Curve Equation t 50310bo1 [1,-1,1,-697973919788,-224443487020919633] 2 50310bo2 [1,-1,1,-11167585849388,-14364383082936019793] 2
50310bp (4 curves)	0	2- 3+ 5+ 13- 43-	2- 3+ 5+  2  0 13-  0  2
Curve Equation t 50310bp1 [1,-1,1,-123398,16712597] 6 50310bp2 [1,-1,1,-110918,20216981] 6 50310bp3 [1,-1,1,-298838,-39794219] 2 50310bp4 [1,-1,1,887542,-278019323] 2
50310bq (2 curves)	0	2- 3+ 5- 13- 43+	2- 3+ 5- -2  2 13-  4  4
Curve Equation t 50310bq1 [1,-1,1,-3647,40771] 2 50310bq2 [1,-1,1,-49277,4220479] 2
50310br (2 curves)	1	2- 3- 5+ 13+ 43+	2- 3- 5+  0  4 13+ -4  4
Curve Equation t Generators 50310br1 [1,-1,1,-992633,-357712423] 2 [1221:15184:1] 50310br2 [1,-1,1,-15617633,-23751862423] 2 [38721:7558594:1]
50310bs (2 curves)	1	2- 3- 5+ 13+ 43+	2- 3- 5+ -2 -2 13+ -6  2
Curve Equation t Generators 50310bs1 [1,-1,1,-21533,-1095019] 2 [-99:292:1] 50310bs2 [1,-1,1,-80033,7539581] 2 [243:1426:1]
50310bt (2 curves)	1	2- 3- 5+ 13+ 43+	2- 3- 5+ -2 -4 13+  4  6
Curve Equation t Generators 50310bt1 [1,-1,1,-3213878,-2242771963] 2 [706484919:82353272839:50653] 50310bt2 [1,-1,1,-51588878,-142607671963] 2 [3673722137315:-380293514609451:248858189]
50310bu (2 curves)	1	2- 3- 5+ 13+ 43+	2- 3- 5+  4  0 13+ -2  0
Curve Equation t Generators 50310bu1 [1,-1,1,35077,-1269669] 2 [803:22926:1] 50310bu2 [1,-1,1,-158423,-10635069] 2 [-1802:30381:8]
50310bv (2 curves)	1	2- 3- 5+ 13+ 43+	2- 3- 5+  4  2 13+ -4 -2
Curve Equation t Generators 50310bv1 [1,-1,1,-34583,-1227873] 2 [-55:738:1] 50310bv2 [1,-1,1,117517,-9197913] 2 [1635:66648:1]
50310bw (1 curve)	1	2- 3- 5+ 13+ 43+	2- 3- 5+ -5  5 13+ -2 -6
Curve Equation t Generators 50310bw1 [1,-1,1,-39668,3050831] 1 [115:-63:1]
50310bx (1 curve)	0	2- 3- 5+ 13+ 43-	2- 3- 5+ -2  2 13+  0 -1
Curve Equation t 50310bx1 [1,-1,1,-5873,-173919] 1
50310by (2 curves)	0	2- 3- 5+ 13+ 43-	2- 3- 5+ -2  2 13+  0 -6
Curve Equation t 50310by1 [1,-1,1,-9456642608,353961868145231] 2 50310by2 [1,-1,1,-9456923858,353939761220231] 2
50310bz (2 curves)	0	2- 3- 5+ 13+ 43-	2- 3- 5+ -2 -4 13+  6  8
Curve Equation t 50310bz1 [1,-1,1,-675683843,-6496312557693] 2 50310bz2 [1,-1,1,352512157,-24514830540093] 2
50310ca (2 curves)	2	2- 3- 5+ 13+ 43-	2- 3- 5+ -2 -6 13+  0 -6
Curve Equation t Generators 50310ca1 [1,-1,1,-4568,115931] 2 [51:-143:1]&[-450:3731:8] 50310ca2 [1,-1,1,-11768,-333349] 2 [-87:205:1]&[-57:415:1]
50310cb (2 curves)	0	2- 3- 5+ 13+ 43-	2- 3- 5+  4 -4 13+ -6  0
Curve Equation t 50310cb1 [1,-1,1,-19739093,39033120557] 2 50310cb2 [1,-1,1,-329339093,2300475360557] 2
50310cc (2 curves)	0	2- 3- 5+ 13+ 43-	2- 3- 5+ -4  6 13+  6 -2
Curve Equation t 50310cc1 [1,-1,1,-15683,-706273] 2 50310cc2 [1,-1,1,13567,-3057973] 2
50310cd (4 curves)	0	2- 3- 5- 13+ 43+	2- 3- 5-  0  0 13+  6  0
Curve Equation t 50310cd1 [1,-1,1,-2611742,-1228322131] 2 50310cd2 [1,-1,1,-14408222,20033653421] 4 50310cd3 [1,-1,1,9852898,80647635629] 2 50310cd4 [1,-1,1,-227413022,1320044548781] 2
50310ce (4 curves)	1	2- 3- 5- 13- 43+	2- 3- 5-  0  4 13- -2 -4
Curve Equation t Generators 50310ce1 [1,-1,1,643,6581] 2 [1:84:1] 50310ce2 [1,-1,1,-3857,65981] 4 [91:634:1] 50310ce3 [1,-1,1,-23207,-1303999] 2 [1502:6963:8] 50310ce4 [1,-1,1,-56507,5183561] 2 [10036:20569:64]
50310cf (2 curves)	1	2- 3- 5- 13- 43+	2- 3- 5-  4 -2 13- -6  4
Curve Equation t Generators 50310cf1 [1,-1,1,-57287,-11276801] 2 [557:11096:1] 50310cf2 [1,-1,1,-1182287,-494126801] 2 [-623:896:1]
50310cg (4 curves)	1	2- 3- 5- 13- 43+	2- 3- 5- -4  4 13- -2  0
Curve Equation t Generators 50310cg1 [1,-1,1,-57092,4948391] 4 [-69:2959:1] 50310cg2 [1,-1,1,-178772,-23086681] 4 [-297:2083:1] 50310cg3 [1,-1,1,389848,-140449849] 2 [4201:272899:1] 50310cg4 [1,-1,1,-2694272,-1701428281] 2 [-947:783:1]

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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