Cremona's table of elliptic curves

10350 = 2 · 3² · 5² · 23

Class	r	Atkin-Lehner	Eigenvalues
10350a (1 curve)	1	2+ 3+ 5+ 23+	2+ 3+ 5+ -1  4 -4 -3  8
Curve Equation t Generators 10350a1 [1,-1,0,3,-9] 1 [3:3:1]
10350b (2 curves)	1	2+ 3+ 5+ 23+	2+ 3+ 5+  2 -2 -4  6 -4
Curve Equation t Generators 10350b1 [1,-1,0,933,-205659] 2 [189:2493:1] 10350b2 [1,-1,0,-47067,-3805659] 2 [-141:183:1]
10350c (2 curves)	0	2+ 3+ 5+ 23-	2+ 3+ 5+ -2  6  0  2 -4
Curve Equation t 10350c1 [1,-1,0,-14136567,25956117341] 2 10350c2 [1,-1,0,-242664567,1454941701341] 2
10350d (2 curves)	0	2+ 3+ 5+ 23-	2+ 3+ 5+  4  0  0 -4  8
Curve Equation t 10350d1 [1,-1,0,-2067,31841] 2 10350d2 [1,-1,0,-8817,-285409] 2
10350e (4 curves)	0	2+ 3+ 5+ 23-	2+ 3+ 5+  4  0  4  0 -4
Curve Equation t 10350e1 [1,-1,0,-17292,177616] 2 10350e2 [1,-1,0,-209292,36849616] 2 10350e3 [1,-1,0,-857292,-305302384] 2 10350e4 [1,-1,0,-884292,-285025384] 2
10350f (1 curve)	0	2+ 3+ 5- 23+	2+ 3+ 5-  1 -4  4 -3  8
Curve Equation t 10350f1 [1,-1,0,633,27791] 1
10350g (2 curves)	0	2+ 3- 5+ 23+	2+ 3- 5+  1  3  1  6 -1
Curve Equation t 10350g1 [1,-1,0,-9837,-373019] 1 10350g2 [1,-1,0,-24012,922576] 1
10350h (1 curve)	2	2+ 3- 5+ 23+	2+ 3- 5+ -1 -5 -7  0 -7
Curve Equation t Generators 10350h1 [1,-1,0,-207,621] 1 [-15:21:1]&[-2:33:1]
10350i (2 curves)	0	2+ 3- 5+ 23+	2+ 3- 5+  2 -2  2  0  8
Curve Equation t 10350i1 [1,-1,0,-5124942,306594949716] 2 10350i2 [1,-1,0,-713712942,7247214409716] 2
10350j (2 curves)	0	2+ 3- 5+ 23+	2+ 3- 5+  2  6  2  0  0
Curve Equation t 10350j1 [1,-1,0,-342,-5184] 2 10350j2 [1,-1,0,-7092,-227934] 2
10350k (2 curves)	0	2+ 3- 5+ 23+	2+ 3- 5+  2 -6  2  0 -4
Curve Equation t 10350k1 [1,-1,0,38583,6873741] 2 10350k2 [1,-1,0,-393417,83337741] 2
10350l (4 curves)	0	2+ 3- 5+ 23+	2+ 3- 5+ -2  0 -2  0  2
Curve Equation t 10350l1 [1,-1,0,-7992,-285584] 2 10350l2 [1,-1,0,-129492,-17903084] 2 10350l3 [1,-1,0,42633,-599459] 2 10350l4 [1,-1,0,-173367,-4703459] 2
10350m (2 curves)	2	2+ 3- 5+ 23+	2+ 3- 5+ -4 -2 -4 -6 -4
Curve Equation t Generators 10350m1 [1,-1,0,-2817,104841] 2 [-51:363:1]&[-26:413:1] 10350m2 [1,-1,0,-54567,4917591] 2 [-171:3123:1]&[39:1668:1]
10350n (1 curve)	0	2+ 3- 5+ 23+	2+ 3- 5+  5  3  5 -6 -1
Curve Equation t 10350n1 [1,-1,0,-5742,-118584] 1
10350o (4 curves)	1	2+ 3- 5+ 23-	2+ 3- 5+  0  4  6 -6  4
Curve Equation t Generators 10350o1 [1,-1,0,-135792,19215616] 2 [-96:5648:1] 10350o2 [1,-1,0,-207792,-3320384] 4 [-141:4883:1] 10350o3 [1,-1,0,-2394792,-1422683384] 2 [3299:161363:1] 10350o4 [1,-1,0,827208,-27125384] 2 [1515:67811:1]
10350p (4 curves)	1	2+ 3- 5+ 23-	2+ 3- 5+  0 -4  2  2  0
Curve Equation t Generators 10350p1 [1,-1,0,-2817,-30659] 2 [-21:148:1] 10350p2 [1,-1,0,-20817,1139341] 4 [-51:1463:1] 10350p3 [1,-1,0,-331317,73485841] 2 [239:2693:1] 10350p4 [1,-1,0,1683,3456841] 2 [8:1859:1]
10350q (2 curves)	1	2+ 3- 5+ 23-	2+ 3- 5+  1 -3  1  0 -1
Curve Equation t Generators 10350q1 [1,-1,0,-342,2056] 1 [38:-226:1] 10350q2 [1,-1,0,-26217,1640461] 1 [98:23:1]
10350r (1 curve)	1	2+ 3- 5+ 23-	2+ 3- 5+ -1  5 -3  2 -3
Curve Equation t Generators 10350r1 [1,-1,0,-1242,-16524] 1 [-20:14:1]
10350s (2 curves)	1	2+ 3- 5+ 23-	2+ 3- 5+  4 -2  2 -2 -2
Curve Equation t Generators 10350s1 [1,-1,0,-2292,49616] 2 [19:103:1] 10350s2 [1,-1,0,-38292,2893616] 2 [-31:2028:1]
10350t (2 curves)	1	2+ 3- 5+ 23-	2+ 3- 5+ -4  2  0  2  0
Curve Equation t Generators 10350t1 [1,-1,0,37458,1396116] 2 [-12:978:1] 10350t2 [1,-1,0,-169542,11953116] 2 [-21:3948:1]
10350u (2 curves)	1	2+ 3- 5+ 23-	2+ 3- 5+ -5  0 -2  3  2
Curve Equation t Generators 10350u1 [1,-1,0,5191758,3404328916] 1 [2195:158189:1] 10350u2 [1,-1,0,-117067617,493297644541] 1 [51310:607387:8]
10350v (1 curve)	1	2+ 3- 5- 23+	2+ 3- 5- -3  1 -3  0 -5
Curve Equation t Generators 10350v1 [1,-1,0,-19467,-659259] 1 [-42:309:1]
10350w (2 curves)	0	2+ 3- 5- 23-	2+ 3- 5- -1  0  2 -3  2
Curve Equation t 10350w1 [1,-1,0,-5742,488916] 1 10350w2 [1,-1,0,-680742,216353916] 3
10350x (1 curve)	0	2+ 3- 5- 23-	2+ 3- 5- -1  3 -3  8 -7
Curve Equation t 10350x1 [1,-1,0,-45042,-3664684] 1
10350y (1 curve)	0	2+ 3- 5- 23-	2+ 3- 5-  3  3 -3  4 -3
Curve Equation t 10350y1 [1,-1,0,-15867,-752459] 1
10350z (1 curve)	0	2+ 3- 5- 23-	2+ 3- 5- -4 -3  6  5 -1
Curve Equation t 10350z1 [1,-1,0,1758,208916] 1
10350ba (2 curves)	0	2- 3+ 5+ 23+	2- 3+ 5+ -2 -6  0 -2 -4
Curve Equation t 10350ba1 [1,-1,1,-1570730,-960814103] 2 10350ba2 [1,-1,1,-26962730,-53877742103] 2
10350bb (2 curves)	0	2- 3+ 5+ 23+	2- 3+ 5+  4  0  0  4  8
Curve Equation t 10350bb1 [1,-1,1,-230,-1103] 2 10350bb2 [1,-1,1,-980,10897] 2
10350bc (4 curves)	0	2- 3+ 5+ 23+	2- 3+ 5+  4  0  4  0 -4
Curve Equation t 10350bc1 [1,-1,1,-95255,11339247] 2 10350bc2 [1,-1,1,-98255,10589247] 2 10350bc3 [1,-1,1,-155630,-4640003] 2 10350bc4 [1,-1,1,-1883630,-993056003] 2
10350bd (1 curve)	1	2- 3+ 5+ 23-	2- 3+ 5+ -1 -4 -4  3  8
Curve Equation t Generators 10350bd1 [1,-1,1,25,217] 1 [-10:109:8]
10350be (2 curves)	1	2- 3+ 5+ 23-	2- 3+ 5+  2  2 -4 -6 -4
Curve Equation t Generators 10350be1 [1,-1,1,8395,5544397] 2 [55:2456:1] 10350be2 [1,-1,1,-423605,103176397] 2 [179:5660:1]
10350bf (1 curve)	0	2- 3+ 5- 23-	2- 3+ 5-  1  4  4  3  8
Curve Equation t 10350bf1 [1,-1,1,70,-1053] 1
10350bg (4 curves)	1	2- 3- 5+ 23+	2- 3- 5+  0  0  2  2 -8
Curve Equation t Generators 10350bg1 [1,-1,1,670,-6703] 2 [15:73:1] 10350bg2 [1,-1,1,-3830,-60703] 4 [165:1861:1] 10350bg3 [1,-1,1,-55580,-5028703] 2 [17460:6547:64] 10350bg4 [1,-1,1,-24080,1397297] 2 [1470:13463:8]
10350bh (4 curves)	1	2- 3- 5+ 23+	2- 3- 5+  0  0 -6  2  0
Curve Equation t Generators 10350bh1 [1,-1,1,-1010480,694880147] 2 [285:20593:1] 10350bh2 [1,-1,1,-19442480,32987744147] 4 [-1091:230545:1] 10350bh3 [1,-1,1,-22754480,20985056147] 2 [-1271:219385:1] 10350bh4 [1,-1,1,-311042480,2111512544147] 2 [10185:-4679:1]
10350bi (2 curves)	1	2- 3- 5+ 23+	2- 3- 5+  0  2 -4  6 -8
Curve Equation t Generators 10350bi1 [1,-1,1,-55130,5017497] 2 [89:855:1] 10350bi2 [1,-1,1,-883130,319657497] 2 [509:1095:1]
10350bj (6 curves)	1	2- 3- 5+ 23+	2- 3- 5+  0 -4  2 -6  4
Curve Equation t Generators 10350bj1 [1,-1,1,-94505,-12244503] 2 [845:22176:1] 10350bj2 [1,-1,1,-1552505,-744160503] 4 [1445:4578:1] 10350bj3 [1,-1,1,-24840005,-47645185503] 2 [777695:-686200422:1] 10350bj4 [1,-1,1,-1593005,-703255503] 4 [-28806920776:-28610915175:53157376] 10350bj5 [1,-1,1,-5811755,4620806997] 2 [-17164:5031675:64] 10350bj6 [1,-1,1,1977745,-3409884003] 2 [1231555720308932424:-1086684458400680863545:1583611388416]
10350bk (2 curves)	1	2- 3- 5+ 23+	2- 3- 5+  1  0 -2  3  2
Curve Equation t Generators 10350bk1 [1,-1,1,-230,3957] 1 [5:51:1] 10350bk2 [1,-1,1,-27230,1736277] 1 [95:-39:1]
10350bl (1 curve)	1	2- 3- 5+ 23+	2- 3- 5+  1  3  3 -8 -7
Curve Equation t Generators 10350bl1 [1,-1,1,-1126055,-459211553] 1 [-605:878:1]
10350bm (1 curve)	1	2- 3- 5+ 23+	2- 3- 5+ -3  3  3 -4 -3
Curve Equation t Generators 10350bm1 [1,-1,1,-635,-5893] 1 [-15:16:1]
10350bn (1 curve)	1	2- 3- 5+ 23+	2- 3- 5+  4 -3 -6 -5 -1
Curve Equation t Generators 10350bn1 [1,-1,1,70,1657] 1 [5:43:1]
10350bo (2 curves)	0	2- 3- 5+ 23-	2- 3- 5+  0 -2  0  6  4
Curve Equation t 10350bo1 [1,-1,1,30145,2068647] 2 10350bo2 [1,-1,1,-176855,19870647] 2
10350bp (2 curves)	0	2- 3- 5+ 23-	2- 3- 5+  2  2  6 -4  0
Curve Equation t 10350bp1 [1,-1,1,895,-93103] 2 10350bp2 [1,-1,1,-26105,-1551103] 2
10350bq (1 curve)	0	2- 3- 5+ 23-	2- 3- 5+  3  1  3  0 -5
Curve Equation t 10350bq1 [1,-1,1,-486680,-82894053] 1
10350br (1 curve)	0	2- 3- 5- 23+	2- 3- 5-  1  5  3 -2 -3
Curve Equation t 10350br1 [1,-1,1,-31055,-2096553] 1
10350bs (2 curves)	0	2- 3- 5- 23+	2- 3- 5- -1 -3 -1  0 -1
Curve Equation t 10350bs1 [1,-1,1,-8555,248447] 1 10350bs2 [1,-1,1,-655430,204402197] 3
10350bt (2 curves)	0	2- 3- 5- 23+	2- 3- 5-  5  0  2 -3  2
Curve Equation t 10350bt1 [1,-1,1,207670,27193097] 1 10350bt2 [1,-1,1,-4682705,3947317697] 3
10350bu (1 curve)	1	2- 3- 5- 23-	2- 3- 5-  1 -5  7  0 -7
Curve Equation t Generators 10350bu1 [1,-1,1,-5180,72447] 1 [-31:465:1]
10350bv (2 curves)	1	2- 3- 5- 23-	2- 3- 5- -1  3 -1 -6 -1
Curve Equation t Generators 10350bv1 [1,-1,1,-245930,-46873303] 1 [-285:223:1] 10350bv2 [1,-1,1,-600305,114721697] 3 [-681:14740:1]
10350bw (1 curve)	1	2- 3- 5- 23-	2- 3- 5- -5  3 -5  6 -1
Curve Equation t Generators 10350bw1 [1,-1,1,-230,-903] 1 [-7:21:1]

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