Cremona's table of elliptic curves

10230 = 2 · 3 · 5 · 11 · 31

Class	r	Atkin-Lehner	Eigenvalues
10230a (2 curves)	1	2+ 3+ 5+ 11+ 31+	2+ 3+ 5+  0 11+ -2  2  2
Curve Equation t Generators 10230a1 [1,1,0,-10323,-442323] 2 [1502:15803:8] 10230a2 [1,1,0,-169043,-26821587] 2 [2294:106853:1]
10230b (4 curves)	1	2+ 3+ 5+ 11+ 31+	2+ 3+ 5+  0 11+ -2  2 -4
Curve Equation t Generators 10230b1 [1,1,0,-19763,1017117] 2 [94:-15:1] 10230b2 [1,1,0,-312583,67135873] 4 [346:571:1] 10230b3 [1,1,0,-5001333,4302952623] 2 [10334:-4669:8] 10230b4 [1,1,0,-308953,68775907] 2 [2526:12191:8]
10230c (2 curves)	1	2+ 3+ 5+ 11- 31-	2+ 3+ 5+  0 11- -2  2 -6
Curve Equation t Generators 10230c1 [1,1,0,587,22957] 2 [9:166:1] 10230c2 [1,1,0,-9333,318573] 2 [18:387:1]
10230d (2 curves)	1	2+ 3+ 5+ 11- 31-	2+ 3+ 5+ -2 11- -2  4  0
Curve Equation t Generators 10230d1 [1,1,0,-183,-363] 2 [-13:12:1] 10230d2 [1,1,0,697,-1947] 2 [26:173:1]
10230e (1 curve)	1	2+ 3+ 5+ 11- 31-	2+ 3+ 5+  3 11-  2  7 -4
Curve Equation t Generators 10230e1 [1,1,0,-583,-38027] 1 [49:208:1]
10230f (1 curve)	1	2+ 3+ 5+ 11- 31-	2+ 3+ 5+  3 11- -2 -1  0
Curve Equation t Generators 10230f1 [1,1,0,9505062,13836932892] 1 [1171521:3550768722:29791]
10230g (4 curves)	0	2+ 3+ 5- 11+ 31+	2+ 3+ 5-  0 11+ -2  2 -4
Curve Equation t 10230g1 [1,1,0,-68926047,219747109509] 2 10230g2 [1,1,0,-95468127,34892139141] 4 10230g3 [1,1,0,-995468127,-12039327860859] 2 10230g4 [1,1,0,379858593,278924877189] 4
10230h (1 curve)	0	2+ 3+ 5- 11+ 31+	2+ 3+ 5-  3 11+ -2 -7  8
Curve Equation t 10230h1 [1,1,0,-153197,-23600769] 1
10230i (2 curves)	1	2+ 3+ 5- 11+ 31-	2+ 3+ 5-  2 11+ -4  2 -4
Curve Equation t Generators 10230i1 [1,1,0,-127,-1211] 2 [30:137:1] 10230i2 [1,1,0,-2607,-52299] 2 [-30:21:1]
10230j (4 curves)	1	2+ 3+ 5- 11- 31+	2+ 3+ 5-  0 11- -2  2  8
Curve Equation t Generators 10230j1 [1,1,0,-38687,-2945019] 2 [286:2937:1] 10230j2 [1,1,0,-38767,-2932331] 4 [-117:196:1] 10230j3 [1,1,0,-66667,1805089] 4 [20:683:1] 10230j4 [1,1,0,-12147,-6856119] 2 [312:4299:1]
10230k (1 curve)	0	2+ 3+ 5- 11- 31-	2+ 3+ 5-  1 11-  7 -5  0
Curve Equation t 10230k1 [1,1,0,-62637,-162934371] 1
10230l (4 curves)	0	2+ 3- 5+ 11+ 31+	2+ 3- 5+ -4 11+  2  2  4
Curve Equation t 10230l1 [1,0,1,-1514,19292] 2 10230l2 [1,0,1,-6634,-189604] 4 10230l3 [1,0,1,-103434,-12812324] 2 10230l4 [1,0,1,8246,-915748] 2
10230m (2 curves)	2	2+ 3- 5+ 11+ 31+	2+ 3- 5+ -4 11+ -6 -6 -6
Curve Equation t Generators 10230m1 [1,0,1,51,376] 2 [-4:12:1]&[-1:18:1] 10230m2 [1,0,1,-569,4592] 2 [-24:79:1]&[-15:106:1]
10230n (4 curves)	1	2+ 3- 5+ 11+ 31-	2+ 3- 5+  2 11+ -4  6  2
Curve Equation t Generators 10230n1 [1,0,1,-152489,-18650788] 6 [-285:1438:1] 10230n2 [1,0,1,-748309,232308596] 6 [-917:12608:1] 10230n3 [1,0,1,-11698904,-15402575194] 2 [60150:4507391:8] 10230n4 [1,0,1,-11708824,-15375148378] 2 [-239995:790759:125]
10230o (2 curves)	0	2+ 3- 5+ 11- 31-	2+ 3- 5+ -1 11- -1 -3  8
Curve Equation t 10230o1 [1,0,1,-3029,63902] 3 10230o2 [1,0,1,106,188576] 1
10230p (2 curves)	0	2+ 3- 5+ 11- 31-	2+ 3- 5+  4 11- -6  2 -2
Curve Equation t 10230p1 [1,0,1,-169209,-26854244] 2 10230p2 [1,0,1,-2708729,-1716142948] 2
10230q (4 curves)	1	2+ 3- 5- 11+ 31+	2+ 3- 5-  0 11+ -2  2  4
Curve Equation t Generators 10230q1 [1,0,1,-2883,59326] 2 [32:-6:1] 10230q2 [1,0,1,-2963,55838] 4 [-21:340:1] 10230q3 [1,0,1,-11063,-388042] 2 [-48:205:1] 10230q4 [1,0,1,3857,276806] 4 [-35:332:1]
10230r (1 curve)	1	2+ 3- 5- 11+ 31+	2+ 3- 5-  3 11+  4 -7 -2
Curve Equation t Generators 10230r1 [1,0,1,-550763,-211543594] 1 [900:4237:1]
10230s (2 curves)	0	2+ 3- 5- 11+ 31-	2+ 3- 5-  0 11+  4  4  6
Curve Equation t 10230s1 [1,0,1,-28,26] 2 10230s2 [1,0,1,92,218] 2
10230t (1 curve)	0	2+ 3- 5- 11+ 31-	2+ 3- 5- -3 11+ -5  7  0
Curve Equation t 10230t1 [1,0,1,-172488,-27766514] 1
10230u (2 curves)	1	2+ 3- 5- 11- 31-	2+ 3- 5-  2 11- -6 -4  4
Curve Equation t Generators 10230u1 [1,0,1,-73,188] 2 [-8:20:1] 10230u2 [1,0,1,147,1156] 2 [5:42:1]
10230v (4 curves)	0	2- 3+ 5+ 11+ 31+	2- 3+ 5+ -4 11+ -6  2 -4
Curve Equation t 10230v1 [1,1,1,-12041031,16077115053] 4 10230v2 [1,1,1,-12041051,16077058949] 4 10230v3 [1,1,1,-12281621,15400864793] 2 10230v4 [1,1,1,-11800801,16749662849] 2
10230w (4 curves)	1	2- 3+ 5+ 11+ 31-	2- 3+ 5+  0 11+ -2  2  0
Curve Equation t Generators 10230w1 [1,1,1,-22581,-921381] 4 [-121:300:1] 10230w2 [1,1,1,-330101,-73127077] 4 [787:12068:1] 10230w3 [1,1,1,-5281421,-4673893621] 2 [8773:785744:1] 10230w4 [1,1,1,-299101,-87374677] 2 [21099:327586:27]
10230x (1 curve)	1	2- 3+ 5+ 11- 31+	2- 3+ 5+  1 11- -2  3  0
Curve Equation t Generators 10230x1 [1,1,1,-156,1053] 1 [31:149:1]
10230y (2 curves)	0	2- 3+ 5+ 11- 31-	2- 3+ 5+  0 11-  4  8  6
Curve Equation t 10230y1 [1,1,1,-2644791,-1655228787] 2 10230y2 [1,1,1,-2022711,-2453233011] 2
10230z (2 curves)	1	2- 3+ 5- 11+ 31+	2- 3+ 5- -2 11+  0 -6  6
Curve Equation t Generators 10230z1 [1,1,1,-3075,34785] 2 [3:158:1] 10230z2 [1,1,1,-42755,3383777] 2 [27:1486:1]
10230ba (2 curves)	0	2- 3- 5+ 11+ 31-	2- 3- 5+  0 11+  4  0  6
Curve Equation t 10230ba1 [1,0,0,-856,-9664] 2 10230ba2 [1,0,0,-376,-20320] 2
10230bb (4 curves)	0	2- 3- 5+ 11+ 31-	2- 3- 5+  2 11+  2  0 -4
Curve Equation t 10230bb1 [1,0,0,-48541,1610801] 6 10230bb2 [1,0,0,176739,12379185] 6 10230bb3 [1,0,0,-2087581,-1161077455] 2 10230bb4 [1,0,0,-1981101,-1284785919] 2
10230bc (2 curves)	1	2- 3- 5+ 11- 31-	2- 3- 5+ -2 11- -4  2 -6
Curve Equation t Generators 10230bc1 [1,0,0,-471,3801] 2 [-4:77:1] 10230bc2 [1,0,0,-1091,-8475] 2 [46:175:1]
10230bd (4 curves)	1	2- 3- 5- 11+ 31-	2- 3- 5-  0 11+ -2 -6  0
Curve Equation t Generators 10230bd1 [1,0,0,105940,-32972400] 4 [280:4180:1] 10230bd2 [1,0,0,-1124140,-405194608] 4 [-736:5228:1] 10230bd3 [1,0,0,-17395420,-27926437600] 2 [-2410:1880:1] 10230bd4 [1,0,0,-4534140,3298747392] 2 [1734:24648:1]
10230be (1 curve)	1	2- 3- 5- 11+ 31-	2- 3- 5- -3 11+ -2 -3  0
Curve Equation t Generators 10230be1 [1,0,0,-12725,551457] 1 [64:-47:1]
10230bf (1 curve)	1	2- 3- 5- 11+ 31-	2- 3- 5- -3 11+  4  1 -6
Curve Equation t Generators 10230bf1 [1,0,0,1270,36900] 1 [100:-1130:1]
10230bg (4 curves)	0	2- 3- 5- 11- 31-	2- 3- 5- -2 11- -6  8  0
Curve Equation t 10230bg1 [1,0,0,-486675,130612257] 10 10230bg2 [1,0,0,-430355,162005025] 10 10230bg3 [1,0,0,-8731875,-9911311503] 2 10230bg4 [1,0,0,-5510855,-17315148075] 2
10230bh (2 curves)	0	2- 3- 5- 11- 31-	2- 3- 5-  3 11- -1  3  0
Curve Equation t 10230bh1 [1,0,0,-385,5225] 5 10230bh2 [1,0,0,-7735,-624145] 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
Back to Tables and computations