Cremona's table of elliptic curves

104310 = 2 · 3² · 5 · 19 · 61

Class	r	Atkin-Lehner	Eigenvalues
104310a (2 curves)	0	2+ 3+ 5+ 19- 61+	2+ 3+ 5+  2  2  2  2 19-
Curve Equation t 104310a1 [1,-1,0,2565,153425] 2 104310a2 [1,-1,0,-32205,2024051] 2
104310b (2 curves)	0	2+ 3+ 5+ 19- 61+	2+ 3+ 5+  2  2 -2  2 19-
Curve Equation t 104310b1 [1,-1,0,-1335165,594152261] 2 104310b2 [1,-1,0,-21362685,38009565125] 2
104310c (2 curves)	1	2+ 3+ 5+ 19- 61-	2+ 3+ 5+  0  0  0  6 19-
Curve Equation t Generators 104310c1 [1,-1,0,-18525,-532475] 2 [-57:608:1] 104310c2 [1,-1,0,-135645,18886021] 2 [327:2905:1]
104310d (2 curves)	1	2+ 3+ 5- 19+ 61-	2+ 3+ 5-  4  2  4  0 19+
Curve Equation t Generators 104310d1 [1,-1,0,-268179,-53207947] 2 [3587:210639:1] 104310d2 [1,-1,0,-4286859,-3415235635] 2 [1322573:65648001:343]
104310e (2 curves)	2	2+ 3+ 5- 19- 61-	2+ 3+ 5-  0  0 -4 -2 19-
Curve Equation t Generators 104310e1 [1,-1,0,-864,-8980] 2 [-19:27:1]&[-14:22:1] 104310e2 [1,-1,0,-2694,43358] 2 [-434:1547:8]&[-53:214:1]
104310f (1 curve)	0	2+ 3- 5+ 19+ 61+	2+ 3- 5+  2  2  0 -1 19+
Curve Equation t 104310f1 [1,-1,0,-375,125] 1
104310g (4 curves)	1	2+ 3- 5+ 19+ 61-	2+ 3- 5+  0  4  2 -2 19+
Curve Equation t Generators 104310g1 [1,-1,0,-41625,2511405] 2 [8297433:280426851:6859] 104310g2 [1,-1,0,-225945,-39181779] 4 [4821:330612:1] 104310g3 [1,-1,0,162855,-160254099] 2 [826:22767:1] 104310g4 [1,-1,0,-3563865,-2588685075] 2 [622145:39796132:125]
104310h (2 curves)	1	2+ 3- 5+ 19+ 61-	2+ 3- 5+  2  0 -2  6 19+
Curve Equation t Generators 104310h1 [1,-1,0,-12825,21706461] 2 [106:4587:1] 104310h2 [1,-1,0,-1247445,530616825] 2 [42:21849:1]
104310i (2 curves)	1	2+ 3- 5+ 19+ 61-	2+ 3- 5+ -2  0 -2  6 19+
Curve Equation t Generators 104310i1 [1,-1,0,-933030,-347733324] 2 [7737605580:-758756040422:804357] 104310i2 [1,-1,0,-14941350,-22225927500] 2 [-66473052:32889198:29791]
104310j (2 curves)	1	2+ 3- 5+ 19+ 61-	2+ 3- 5+ -2 -2  4 -3 19+
Curve Equation t Generators 104310j1 [1,-1,0,-340290,-76318700] 1 [-245258246013:134709717506:726572699] 104310j2 [1,-1,0,-3362490,2344140220] 1 [873:8134:1]
104310k (2 curves)	1	2+ 3- 5+ 19+ 61-	2+ 3- 5+ -2  3 -6 -8 19+
Curve Equation t Generators 104310k1 [1,-1,0,-4590,-6976044] 1 [7275:616809:1] 104310k2 [1,-1,0,-2169990,1392409116] 1 [-645:50556:1]
104310l (1 curve)	1	2+ 3- 5+ 19+ 61-	2+ 3- 5+ -2 -5 -2 -4 19+
Curve Equation t Generators 104310l1 [1,-1,0,-32670,2315790] 1 [93:-321:1]
104310m (1 curve)	1	2+ 3- 5+ 19+ 61-	2+ 3- 5+ -5  0  1  0 19+
Curve Equation t Generators 104310m1 [1,-1,0,-291825,715348125] 1 [-849:19149:1]
104310n (1 curve)	1	2+ 3- 5+ 19- 61+	2+ 3- 5+  3 -4  3  0 19-
Curve Equation t Generators 104310n1 [1,-1,0,-315225,4988281261] 1 [22194986:1220782745:10648]
104310o (1 curve)	1	2+ 3- 5+ 19- 61+	2+ 3- 5+ -4 -4 -4 -7 19-
Curve Equation t Generators 104310o1 [1,-1,0,-422250,-105503914] 1 [-823693:412374:2197]
104310p (2 curves)	2	2+ 3- 5+ 19- 61-	2+ 3- 5+ -2 -4 -2  2 19-
Curve Equation t Generators 104310p1 [1,-1,0,630,2596] 2 [-26:193:8]&[8:-94:1] 104310p2 [1,-1,0,-2790,23800] 2 [-52:188:1]&[-37:293:1]
104310q (2 curves)	1	2+ 3- 5- 19+ 61+	2+ 3- 5-  0  2 -4 -2 19+
Curve Equation t Generators 104310q1 [1,-1,0,-1916064,1021331200] 2 [5075:346730:1] 104310q2 [1,-1,0,-1929744,1006017808] 2 [932:3584:1]
104310r (2 curves)	1	2+ 3- 5- 19+ 61+	2+ 3- 5-  2  0  2  0 19+
Curve Equation t Generators 104310r1 [1,-1,0,711,26653] 2 [14:191:1] 104310r2 [1,-1,0,-10269,371425] 2 [-16:737:1]
104310s (1 curve)	1	2+ 3- 5- 19+ 61+	2+ 3- 5-  2 -1  2  4 19+
Curve Equation t Generators 104310s1 [1,-1,0,171,405] 1 [-18:27:8]
104310t (1 curve)	1	2+ 3- 5- 19+ 61+	2+ 3- 5-  2 -1 -2  0 19+
Curve Equation t Generators 104310t1 [1,-1,0,-12069,-766017] 1 [147:714:1]
104310u (2 curves)	1	2+ 3- 5- 19+ 61+	2+ 3- 5-  2  4 -2  0 19+
Curve Equation t Generators 104310u1 [1,-1,0,6468021,-6710631867] 2 [681879523694049:-35051266450096470:487629237311] 104310u2 [1,-1,0,-38506059,-64484335035] 2 [-22682607:-587696199:4913]
104310v (2 curves)	1	2+ 3- 5- 19+ 61+	2+ 3- 5-  4 -6 -4 -2 19+
Curve Equation t Generators 104310v1 [1,-1,0,-3128589,2093366245] 2 [1301:14312:1] 104310v2 [1,-1,0,-6630669,-3444823067] 2 [-1878:49739:1]
104310w (2 curves)	1	2+ 3- 5- 19+ 61+	2+ 3- 5- -4  2 -4 -2 19+
Curve Equation t Generators 104310w1 [1,-1,0,-2580587109,50112389249685] 2 [10808998780152991441077730:460327825976598604719994895:312628354284954149317] 104310w2 [1,-1,0,-4363378389,-27983495887227] 2 [672265705617322038:130392016508992948281:7482383093879]
104310x (1 curve)	0	2+ 3- 5- 19+ 61-	2+ 3- 5-  0  1  4 -5 19+
Curve Equation t 104310x1 [1,-1,0,-2046789,1129701973] 1
104310y (1 curve)	0	2+ 3- 5- 19+ 61-	2+ 3- 5-  0  5  2 -7 19+
Curve Equation t 104310y1 [1,-1,0,81,-27] 1
104310z (1 curve)	0	2+ 3- 5- 19+ 61-	2+ 3- 5-  1  0  1  3 19+
Curve Equation t 104310z1 [1,-1,0,-250344,149145408] 1
104310ba (1 curve)	0	2+ 3- 5- 19+ 61-	2+ 3- 5-  4  3  1  6 19+
Curve Equation t 104310ba1 [1,-1,0,-459,3915] 1
104310bb (2 curves)	2	2+ 3- 5- 19- 61+	2+ 3- 5-  0  0 -4 -2 19-
Curve Equation t Generators 104310bb1 [1,-1,0,-35514,2584548] 2 [-216:486:1]&[-63:2169:1] 104310bb2 [1,-1,0,-32094,3099600] 2 [66:-1158:1]&[-114:2352:1]
104310bc (1 curve)	0	2+ 3- 5- 19- 61+	2+ 3- 5-  0  1 -5 -2 19-
Curve Equation t 104310bc1 [1,-1,0,846,3028] 1
104310bd (1 curve)	0	2+ 3- 5- 19- 61+	2+ 3- 5-  0 -1 -6  3 19-
Curve Equation t 104310bd1 [1,-1,0,-155754,47923060] 1
104310be (2 curves)	0	2+ 3- 5- 19- 61+	2+ 3- 5-  0  4  4 -2 19-
Curve Equation t 104310be1 [1,-1,0,-790875144,8560871687488] 2 104310be2 [1,-1,0,-776866824,8878728873280] 2
104310bf (1 curve)	0	2+ 3- 5- 19- 61+	2+ 3- 5-  0 -4  0  3 19-
Curve Equation t 104310bf1 [1,-1,0,-1223233884,-16466590589360] 1
104310bg (2 curves)	1	2+ 3- 5- 19- 61-	2+ 3- 5- -4  0 -4 -3 19-
Curve Equation t Generators 104310bg1 [1,-1,0,-864,-7992] 1 [-11:15:1] 104310bg2 [1,-1,0,-19674,1066230] 3 [79:-21:1]
104310bh (4 curves)	1	2+ 3- 5- 19- 61-	2+ 3- 5- -4  6  2  0 19-
Curve Equation t Generators 104310bh1 [1,-1,0,-879804,-317226672] 2 [-543:699:1] 104310bh2 [1,-1,0,-1055484,-181355760] 2 [-819:11952:1] 104310bh3 [1,-1,0,-2890764,1530385920] 6 [-399:51387:1] 104310bh4 [1,-1,0,-43747344,111377386908] 6 [-44274:3453387:8]
104310bi (2 curves)	1	2- 3+ 5+ 19+ 61-	2- 3+ 5+  4 -2  4  0 19+
Curve Equation t Generators 104310bi1 [1,-1,1,-29798,1980597] 2 [45:831:1] 104310bi2 [1,-1,1,-476318,126648981] 2 [411:221:1]
104310bj (2 curves)	0	2- 3+ 5+ 19- 61-	2- 3+ 5+  0  0 -4  2 19-
Curve Equation t 104310bj1 [1,-1,1,-7778,250237] 2 104310bj2 [1,-1,1,-24248,-1146419] 2
104310bk (2 curves)	0	2- 3+ 5- 19- 61+	2- 3+ 5-  2 -2  2 -2 19-
Curve Equation t 104310bk1 [1,-1,1,23083,-4165559] 2 104310bk2 [1,-1,1,-289847,-54359531] 2
104310bl (2 curves)	0	2- 3+ 5- 19- 61+	2- 3+ 5-  2 -2 -2 -2 19-
Curve Equation t 104310bl1 [1,-1,1,-148352,-21956189] 2 104310bl2 [1,-1,1,-2373632,-1406970461] 2
104310bm (2 curves)	1	2- 3+ 5- 19- 61-	2- 3+ 5-  0  0  0 -6 19-
Curve Equation t Generators 104310bm1 [1,-1,1,-166727,14543551] 2 [571:-10546:1] 104310bm2 [1,-1,1,-1220807,-508701761] 2 [-581:2342:1]
104310bn (1 curve)	1	2- 3- 5+ 19+ 61+	2- 3- 5+  1  0  1 -4 19+
Curve Equation t Generators 104310bn1 [1,-1,1,3577,4323071] 1 [291:5326:1]
104310bo (1 curve)	1	2- 3- 5+ 19+ 61+	2- 3- 5+ -4 -5  6  6 19+
Curve Equation t Generators 104310bo1 [1,-1,1,-810597308,10752798659231] 1 [4657604130393:1011883618848251:80062991]
104310bp (2 curves)	0	2- 3- 5+ 19+ 61-	2- 3- 5+  0 -2  2 -2 19+
Curve Equation t 104310bp1 [1,-1,1,-824243,-280268269] 2 104310bp2 [1,-1,1,215437,-940257133] 2
104310bq (2 curves)	0	2- 3- 5+ 19+ 61-	2- 3- 5+ -2  0  4  0 19+
Curve Equation t 104310bq1 [1,-1,1,157,-493] 2 104310bq2 [1,-1,1,-743,-3733] 2
104310br (2 curves)	0	2- 3- 5+ 19+ 61-	2- 3- 5+ -2  4  4  0 19+
Curve Equation t 104310br1 [1,-1,1,-743,-15969] 2 104310br2 [1,-1,1,-15143,-712929] 2
104310bs (4 curves)	0	2- 3- 5+ 19+ 61-	2- 3- 5+  4  0  6 -2 19+
Curve Equation t 104310bs1 [1,-1,1,36607,330257] 2 104310bs2 [1,-1,1,-147713,2763281] 4 104310bs3 [1,-1,1,-1515713,-714615919] 2 104310bs4 [1,-1,1,-1728833,873644177] 2
104310bt (4 curves)	0	2- 3- 5+ 19+ 61-	2- 3- 5+ -4  0 -2 -2 19+
Curve Equation t 104310bt1 [1,-1,1,-12398,-4012419] 2 104310bt2 [1,-1,1,-462398,-120292419] 4 104310bt3 [1,-1,1,-736898,39356781] 2 104310bt4 [1,-1,1,-7387898,-7727261619] 2
104310bu (1 curve)	0	2- 3- 5+ 19- 61+	2- 3- 5+  0  3  2  5 19-
Curve Equation t 104310bu1 [1,-1,1,-46823,4110581] 1
104310bv (2 curves)	2	2- 3- 5+ 19- 61+	2- 3- 5+  0 -4 -6  6 19-
Curve Equation t Generators 104310bv1 [1,-1,1,-39083,3098427] 2 [-79:2424:1]&[95:-534:1] 104310bv2 [1,-1,1,-632003,193544331] 2 [473:-750:1]&[501:1322:1]
104310bw (2 curves)	0	2- 3- 5+ 19- 61+	2- 3- 5+ -2  2  4 -6 19-
Curve Equation t 104310bw1 [1,-1,1,-846338,302347761] 2 104310bw2 [1,-1,1,-13572158,19248548577] 2
104310bx (2 curves)	2	2- 3- 5+ 19- 61+	2- 3- 5+ -2 -6 -2  2 19-
Curve Equation t Generators 104310bx1 [1,-1,1,-45833,4072457] 2 [117:-608:1]&[-153:2812:1] 104310bx2 [1,-1,1,-748553,249462281] 2 [513:256:1]&[-665:21612:1]
104310by (2 curves)	1	2- 3- 5+ 19- 61-	2- 3- 5+ -4  6 -2 -8 19-
Curve Equation t Generators 104310by1 [1,-1,1,-543983,-154276873] 2 [-423:292:1] 104310by2 [1,-1,1,-587903,-127872169] 2 [1041:19162:1]
104310bz (2 curves)	0	2- 3- 5- 19+ 61+	2- 3- 5- -2  0  2  4 19+
Curve Equation t 104310bz1 [1,-1,1,-11552,-497469] 2 104310bz2 [1,-1,1,-187232,-31136061] 2
104310ca (2 curves)	2	2- 3- 5- 19+ 61+	2- 3- 5- -2 -4 -2 -4 19+
Curve Equation t Generators 104310ca1 [1,-1,1,-87197,60160421] 2 [111:7144:1]&[-369:6664:1] 104310ca2 [1,-1,1,-2898077,1891729829] 2 [1287:16456:1]&[-1413:56956:1]
104310cb (1 curve)	1	2- 3- 5- 19+ 61-	2- 3- 5-  0 -1  2  2 19+
Curve Equation t Generators 104310cb1 [1,-1,1,-21362,-1196431] 1 [369:6223:1]
104310cc (4 curves)	1	2- 3- 5- 19+ 61-	2- 3- 5-  0 -4  2  2 19+
Curve Equation t Generators 104310cc1 [1,-1,1,-44539862,114325292261] 4 [3951:1669:1] 104310cc2 [1,-1,1,-55256342,55144603109] 4 [-7533:213241:1] 104310cc3 [1,-1,1,205518658,426279583109] 2 [-1433:359641:1] 104310cc4 [1,-1,1,-487495022,-4103683080379] 2 [361411:216674919:1]
104310cd (2 curves)	1	2- 3- 5- 19- 61+	2- 3- 5- -2  2  2  2 19-
Curve Equation t Generators 104310cd1 [1,-1,1,283,23181] 2 [39:284:1] 104310cd2 [1,-1,1,-10697,414069] 2 [27:366:1]
104310ce (1 curve)	1	2- 3- 5- 19- 61+	2- 3- 5- -3 -4  3  3 19-
Curve Equation t Generators 104310ce1 [1,-1,1,460813,20288211] 1 [81:-7666:1]
104310cf (2 curves)	1	2- 3- 5- 19- 61+	2- 3- 5- -4  2 -4  6 19-
Curve Equation t Generators 104310cf1 [1,-1,1,-1427,-1101] 2 [-1:18:1] 104310cf2 [1,-1,1,-15107,715731] 2 [29:534:1]
104310cg (1 curve)	1	2- 3- 5- 19- 61+	2- 3- 5- -4  4  4 -5 19-
Curve Equation t Generators 104310cg1 [1,-1,1,-751502,-248998499] 1 [-499:1499:1]
104310ch (1 curve)	0	2- 3- 5- 19- 61-	2- 3- 5-  0  5  4  3 19-
Curve Equation t 104310ch1 [1,-1,1,2713,146949] 1
104310ci (2 curves)	0	2- 3- 5- 19- 61-	2- 3- 5- -1  0  5  0 19-
Curve Equation t 104310ci1 [1,-1,1,6313,-8971] 1 104310ci2 [1,-1,1,-84272,10179371] 3

Data from Elliptic Curve Data by J. E. Cremona.
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