Cremona's table of elliptic curves

23310 = 2 · 3² · 5 · 7 · 37

Class	r	Atkin-Lehner	Eigenvalues
23310a (2 curves)	1	2+ 3+ 5+ 7+ 37+	2+ 3+ 5+ 7+  2 -6 -6  0
Curve Equation t Generators 23310a1 [1,-1,0,-420,-46000] 2 [67:439:1] 23310a2 [1,-1,0,-22020,-1242640] 2 [227:2214:1]
23310b (2 curves)	2	2+ 3+ 5+ 7+ 37-	2+ 3+ 5+ 7+ -6  0  2 -2
Curve Equation t Generators 23310b1 [1,-1,0,30,196] 2 [-26:73:8]&[0:14:1] 23310b2 [1,-1,0,-390,2800] 2 [-19:65:1]&[-10:80:1]
23310c (2 curves)	1	2+ 3+ 5- 7+ 37-	2+ 3+ 5- 7+  2  0 -2  6
Curve Equation t Generators 23310c1 [1,-1,0,366,-157612] 2 [127:1324:1] 23310c2 [1,-1,0,-41634,-3190012] 2 [-131:121:1]
23310d (2 curves)	1	2+ 3+ 5- 7+ 37-	2+ 3+ 5- 7+  2  4 -2 -6
Curve Equation t Generators 23310d1 [1,-1,0,-157479,24103853] 2 [217:229:1] 23310d2 [1,-1,0,-2519979,1540356353] 2 [667:12154:1]
23310e (2 curves)	1	2+ 3+ 5- 7+ 37-	2+ 3+ 5- 7+  2 -4 -2  2
Curve Equation t Generators 23310e1 [1,-1,0,8976,320768] 2 [32:784:1] 23310e2 [1,-1,0,-51504,3066560] 2 [-104:2752:1]
23310f (4 curves)	0	2+ 3+ 5- 7- 37-	2+ 3+ 5- 7-  0 -4 -6  8
Curve Equation t 23310f1 [1,-1,0,1416,-96660] 6 23310f2 [1,-1,0,-24834,-1403910] 6 23310f3 [1,-1,0,-123459,-16675435] 2 23310f4 [1,-1,0,-1975659,-1068354595] 2
23310g (1 curve)	0	2+ 3- 5+ 7+ 37+	2+ 3- 5+ 7+ -5  2  7 -2
Curve Equation t 23310g1 [1,-1,0,-2385,-47075] 1
23310h (4 curves)	1	2+ 3- 5+ 7+ 37-	2+ 3- 5+ 7+  0 -2 -2  0
Curve Equation t Generators 23310h1 [1,-1,0,720,-6224] 2 [20:116:1] 23310h2 [1,-1,0,-3780,-53924] 4 [-43:188:1] 23310h3 [1,-1,0,-25830,1564546] 2 [-145:1571:1] 23310h4 [1,-1,0,-53730,-4779194] 2 [-133:98:1]
23310i (4 curves)	1	2+ 3- 5+ 7+ 37-	2+ 3- 5+ 7+  0 -6  6 -4
Curve Equation t Generators 23310i1 [1,-1,0,-3690,87156] 2 [-12:366:1] 23310i2 [1,-1,0,-4410,51300] 4 [-24:390:1] 23310i3 [1,-1,0,15570,374976] 2 [87:1500:1] 23310i4 [1,-1,0,-35910,-2575800] 2 [-110:240:1]
23310j (1 curve)	1	2+ 3- 5+ 7+ 37-	2+ 3- 5+ 7+  3  0  3 -4
Curve Equation t Generators 23310j1 [1,-1,0,-2533410,-2165515884] 1 [176293980:4349398482:79507]
23310k (2 curves)	1	2+ 3- 5+ 7+ 37-	2+ 3- 5+ 7+  4  2 -4  8
Curve Equation t Generators 23310k1 [1,-1,0,-855,11101] 2 [3:91:1] 23310k2 [1,-1,0,-14175,653125] 2 [53:194:1]
23310l (1 curve)	1	2+ 3- 5+ 7+ 37-	2+ 3- 5+ 7+ -6 -3 -4 -2
Curve Equation t Generators 23310l1 [1,-1,0,-2181394755,-40355091984299] 1 [6553994206903406455698214423470180355296776269058410480399160591593:8388870095377290168383599991007736578145756740889204150755392246533966:3994071541041125764430668716584607908047219510335539934748673]
23310m (1 curve)	1	2+ 3- 5+ 7- 37+	2+ 3- 5+ 7-  5 -4  3  0
Curve Equation t Generators 23310m1 [1,-1,0,-15750,-8599500] 1 [588:13314:1]
23310n (1 curve)	0	2+ 3- 5+ 7- 37-	2+ 3- 5+ 7-  1 -2  3  6
Curve Equation t 23310n1 [1,-1,0,2903445,-207527675] 1
23310o (1 curve)	0	2+ 3- 5+ 7- 37-	2+ 3- 5+ 7-  4  1  6  0
Curve Equation t 23310o1 [1,-1,0,-15345,-824675] 1
23310p (6 curves)	2	2+ 3- 5+ 7- 37-	2+ 3- 5+ 7- -4 -2 -2 -4
Curve Equation t Generators 23310p1 [1,-1,0,-16065,-773955] 2 [-77:84:1]&[-69:84:1] 23310p2 [1,-1,0,-27585,490941] 4 [-167:731:1]&[-93:1545:1] 23310p3 [1,-1,0,105615,3767661] 2 [-30:771:1]&[147:4665:1] 23310p4 [1,-1,0,-345105,78029325] 4 [-570:9735:1]&[-345:12660:1] 23310p5 [1,-1,0,-250605,121631625] 2 [-317:13164:1]&[90:9945:1] 23310p6 [1,-1,0,-5519925,4993073361] 2 [-2010:90249:1]&[888:27681:1]
23310q (2 curves)	1	2+ 3- 5- 7+ 37+	2+ 3- 5- 7+  0  0  2 -6
Curve Equation t Generators 23310q1 [1,-1,0,-11754,-735372] 2 [139:480:1] 23310q2 [1,-1,0,-213354,-37870092] 2 [5899:448661:1]
23310r (1 curve)	1	2+ 3- 5- 7+ 37+	2+ 3- 5- 7+  1 -4 -3  4
Curve Equation t Generators 23310r1 [1,-1,0,-318249,-69023907] 1 [702:6939:1]
23310s (1 curve)	1	2+ 3- 5- 7+ 37+	2+ 3- 5- 7+ -2 -1  0 -2
Curve Equation t Generators 23310s1 [1,-1,0,-54,378] 1 [-3:24:1]
23310t (2 curves)	1	2+ 3- 5- 7+ 37+	2+ 3- 5- 7+ -4 -4  2 -6
Curve Equation t Generators 23310t1 [1,-1,0,-41139,3227445] 2 [109:117:1] 23310t2 [1,-1,0,-658539,205858125] 2 [219:8382:1]
23310u (4 curves)	0	2+ 3- 5- 7+ 37-	2+ 3- 5- 7+ -4  2  2  8
Curve Equation t 23310u1 [1,-1,0,64521,22843485] 2 23310u2 [1,-1,0,-921159,313224813] 4 23310u3 [1,-1,0,-3205539,-1853738055] 2 23310u4 [1,-1,0,-14407659,21052764513] 2
23310v (2 curves)	0	2+ 3- 5- 7- 37+	2+ 3- 5- 7-  2 -4 -6  0
Curve Equation t 23310v1 [1,-1,0,-5249979,-4628786715] 2 23310v2 [1,-1,0,-83999979,-296303036715] 2
23310w (2 curves)	0	2+ 3- 5- 7- 37+	2+ 3- 5- 7- -2  2  2 -2
Curve Equation t 23310w1 [1,-1,0,-9407979,-11104625147] 2 23310w2 [1,-1,0,-150527979,-710805809147] 2
23310x (1 curve)	0	2+ 3- 5- 7- 37+	2+ 3- 5- 7-  3  2 -3 -2
Curve Equation t 23310x1 [1,-1,0,2151,-9167] 1
23310y (1 curve)	0	2+ 3- 5- 7- 37+	2+ 3- 5- 7-  4 -1  2  4
Curve Equation t 23310y1 [1,-1,0,7506,1258708] 1
23310z (6 curves)	1	2+ 3- 5- 7- 37-	2+ 3- 5- 7-  0 -4  6  2
Curve Equation t Generators 23310z1 [1,-1,0,82791,-17643987] 2 [11502:437643:8] 23310z2 [1,-1,0,-723609,-200051667] 2 [9122238:286642387:5832] 23310z3 [1,-1,0,-772569,583145325] 6 [-2898:229887:8] 23310z4 [1,-1,0,-16207569,25097012325] 6 [2401:3227:1] 23310z5 [1,-1,0,-82031229,285988426353] 6 [37422:524223:8] 23310z6 [1,-1,0,-1312499979,18302265770103] 6 [50215294234573:-25105796754349:2400721219]
23310ba (2 curves)	1	2+ 3- 5- 7- 37-	2+ 3- 5- 7-  3 -4 -3 -4
Curve Equation t Generators 23310ba1 [1,-1,0,216,-15552] 1 [144:1656:1] 23310ba2 [1,-1,0,-1944,421200] 3 [-36:684:1]
23310bb (4 curves)	1	2+ 3- 5- 7- 37-	2+ 3- 5- 7- -4  6 -6  4
Curve Equation t Generators 23310bb1 [1,-1,0,-189,6853] 2 [-6:91:1] 23310bb2 [1,-1,0,-6669,210325] 4 [-34:647:1] 23310bb3 [1,-1,0,-10449,-52007] 2 [-16:341:1] 23310bb4 [1,-1,0,-106569,13417105] 4 [189:-88:1]
23310bc (2 curves)	1	2- 3+ 5+ 7+ 37-	2- 3+ 5+ 7+ -2  0  2  6
Curve Equation t Generators 23310bc1 [1,-1,1,3292,4252231] 2 [-47:2021:1] 23310bc2 [1,-1,1,-374708,86505031] 2 [61:7961:1]
23310bd (2 curves)	1	2- 3+ 5+ 7+ 37-	2- 3+ 5+ 7+ -2  4  2 -6
Curve Equation t Generators 23310bd1 [1,-1,1,-17498,-886903] 2 [201:1819:1] 23310bd2 [1,-1,1,-279998,-56956903] 2 [10358:329457:8]
23310be (2 curves)	1	2- 3+ 5+ 7+ 37-	2- 3+ 5+ 7+ -2 -4  2  2
Curve Equation t Generators 23310be1 [1,-1,1,997,-12213] 2 [23:138:1] 23310be2 [1,-1,1,-5723,-111669] 2 [-49:246:1]
23310bf (4 curves)	0	2- 3+ 5+ 7- 37-	2- 3+ 5+ 7-  0 -4  6  8
Curve Equation t 23310bf1 [1,-1,1,-13718,622181] 6 23310bf2 [1,-1,1,-219518,39641861] 6 23310bf3 [1,-1,1,12742,2597077] 2 23310bf4 [1,-1,1,-223508,38129077] 2
23310bg (2 curves)	1	2- 3+ 5- 7+ 37+	2- 3+ 5- 7+ -2 -6  6  0
Curve Equation t Generators 23310bg1 [1,-1,1,-47,1719] 2 [-1:42:1] 23310bg2 [1,-1,1,-2447,46839] 2 [-1:222:1]
23310bh (2 curves)	0	2- 3+ 5- 7+ 37-	2- 3+ 5- 7+  6  0 -2 -2
Curve Equation t 23310bh1 [1,-1,1,268,-5561] 2 23310bh2 [1,-1,1,-3512,-72089] 2
23310bi (2 curves)	1	2- 3- 5+ 7+ 37+	2- 3- 5+ 7+  2 -4 -2  4
Curve Equation t Generators 23310bi1 [1,-1,1,-34391228,-77735222913] 2 [15173:1693413:1] 23310bi2 [1,-1,1,-550487228,-4971151056513] 2 [27461:773589:1]
23310bj (2 curves)	1	2- 3- 5+ 7+ 37+	2- 3- 5+ 7+ -2  2 -2 -2
Curve Equation t Generators 23310bj1 [1,-1,1,9292,-639273] 2 [65:453:1] 23310bj2 [1,-1,1,-78908,-7130793] 2 [-133:1065:1]
23310bk (1 curve)	1	2- 3- 5+ 7+ 37+	2- 3- 5+ 7+ -3  6  3 -6
Curve Equation t Generators 23310bk1 [1,-1,1,-1733,28401] 1 [23:6:1]
23310bl (1 curve)	0	2- 3- 5+ 7+ 37-	2- 3- 5+ 7+  1  4 -1  0
Curve Equation t 23310bl1 [1,-1,1,-9706568,11649414107] 1
23310bm (4 curves)	0	2- 3- 5+ 7- 37+	2- 3- 5+ 7-  4  2  2  4
Curve Equation t 23310bm1 [1,-1,1,4342,-78519] 2 23310bm2 [1,-1,1,-21578,-679863] 4 23310bm3 [1,-1,1,-156578,23404137] 2 23310bm4 [1,-1,1,-301298,-63560919] 2
23310bn (2 curves)	1	2- 3- 5+ 7- 37-	2- 3- 5+ 7-  0 -4  2 -2
Curve Equation t Generators 23310bn1 [1,-1,1,-23,-2869] 2 [246:1133:8] 23310bn2 [1,-1,1,-3173,-67129] 2 [566:1653:8]
23310bo (3 curves)	1	2- 3- 5+ 7- 37-	2- 3- 5+ 7- -6  5  0  2
Curve Equation t Generators 23310bo1 [1,-1,1,-25223,-1544353] 1 [201:1114:1] 23310bo2 [1,-1,1,70402,-8287603] 3 [105:451:1] 23310bo3 [1,-1,1,-687173,353670077] 3 [855:19336:1]
23310bp (4 curves)	0	2- 3- 5- 7+ 37+	2- 3- 5- 7+  4  2 -2  4
Curve Equation t 23310bp1 [1,-1,1,57928,-15176901] 2 23310bp2 [1,-1,1,-679352,-193303749] 4 23310bp3 [1,-1,1,-2597432,1405607739] 2 23310bp4 [1,-1,1,-10557752,-13201180869] 2
23310bq (1 curve)	0	2- 3- 5- 7+ 37+	2- 3- 5- 7+  4  3  6  0
Curve Equation t 23310bq1 [1,-1,1,-347657,111171849] 1
23310br (2 curves)	0	2- 3- 5- 7+ 37+	2- 3- 5- 7+  4  6  0  0
Curve Equation t 23310br1 [1,-1,1,598,-3099] 2 23310br2 [1,-1,1,-2732,-24411] 2
23310bs (4 curves)	1	2- 3- 5- 7+ 37-	2- 3- 5- 7+  0 -2  2 -4
Curve Equation t Generators 23310bs1 [1,-1,1,555943,-26231511] 4 [137:7176:1] 23310bs2 [1,-1,1,-2256557,-209606511] 4 [6387:492686:1] 23310bs3 [1,-1,1,-22652807,41292682989] 2 [442068:29409029:64] 23310bs4 [1,-1,1,-26860307,-53481646011] 2 [78834426:4131570653:10648]
23310bt (1 curve)	1	2- 3- 5- 7+ 37-	2- 3- 5- 7+ -5 -2 -3  6
Curve Equation t Generators 23310bt1 [1,-1,1,-202487,35653839] 1 [299:-1482:1]
23310bu (1 curve)	1	2- 3- 5- 7- 37+	2- 3- 5- 7-  1  2 -7 -2
Curve Equation t Generators 23310bu1 [1,-1,1,-233132,8887293231] 1 [2261:-142251:1]
23310bv (1 curve)	1	2- 3- 5- 7- 37+	2- 3- 5- 7- -2  7  4 -6
Curve Equation t Generators 23310bv1 [1,-1,1,-32,-2109] 1 [29:129:1]
23310bw (2 curves)	0	2- 3- 5- 7- 37-	2- 3- 5- 7-  0 -1 -6  8
Curve Equation t 23310bw1 [1,-1,1,373,12089] 1 23310bw2 [1,-1,1,-30812,2090711] 3

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