Cremona's table of elliptic curves

3030 = 2 · 3 · 5 · 101

Class	r	Atkin-Lehner	Eigenvalues
3030a (1 curve)	1	2+ 3+ 5+ 101+	2+ 3+ 5+  1  1 -4  7 -3
Curve Equation t Generators 3030a1 [1,1,0,-488,7488] 1 [16:56:1]
3030b (1 curve)	1	2+ 3+ 5+ 101+	2+ 3+ 5+  1 -2 -1  1 -6
Curve Equation t Generators 3030b1 [1,1,0,-253,-2147] 1 [21:38:1]
3030c (4 curves)	1	2+ 3+ 5- 101-	2+ 3+ 5-  0 -4 -6  6  4
Curve Equation t Generators 3030c1 [1,1,0,-22,4] 2 [-5:7:1] 3030c2 [1,1,0,-202,-1184] 4 [-9:7:1] 3030c3 [1,1,0,-3232,-72086] 2 [123:1126:1] 3030c4 [1,1,0,-52,-2714] 2 [21:67:1]
3030d (1 curve)	1	2+ 3+ 5- 101-	2+ 3+ 5-  3  2 -3 -3 -2
Curve Equation t Generators 3030d1 [1,1,0,15498,841266] 1 [-43:334:1]
3030e (1 curve)	1	2+ 3+ 5- 101-	2+ 3+ 5- -3 -1  0 -3  1
Curve Equation t Generators 3030e1 [1,1,0,-29932,-2020784] 1 [1162200:24519188:2197]
3030f (1 curve)	1	2+ 3+ 5- 101-	2+ 3+ 5- -3  4  0 -3  1
Curve Equation t Generators 3030f1 [1,1,0,-7,151] 1 [7:19:1]
3030g (2 curves)	1	2+ 3- 5+ 101-	2+ 3- 5+  0  0  4 -4 -4
Curve Equation t Generators 3030g1 [1,0,1,-9,-8] 2 [-2:2:1] 3030g2 [1,0,1,21,-44] 2 [4:8:1]
3030h (1 curve)	1	2+ 3- 5+ 101-	2+ 3- 5+  3  0 -5 -1 -4
Curve Equation t Generators 3030h1 [1,0,1,-17802634,-58013330308] 1 [17728:2271059:1]
3030i (1 curve)	1	2+ 3- 5+ 101-	2+ 3- 5+  3 -5  0 -1  1
Curve Equation t Generators 3030i1 [1,0,1,-7554,252052] 1 [53:-63:1]
3030j (1 curve)	1	2+ 3- 5+ 101-	2+ 3- 5+ -3  0  4 -7  5
Curve Equation t Generators 3030j1 [1,0,1,-47534,3984896] 1 [108:283:1]
3030k (1 curve)	1	2+ 3- 5- 101+	2+ 3- 5-  1 -4  1 -5 -4
Curve Equation t Generators 3030k1 [1,0,1,7,-214] 1 [12:34:1]
3030l (2 curves)	1	2+ 3- 5- 101+	2+ 3- 5- -1 -3 -4 -3  5
Curve Equation t Generators 3030l1 [1,0,1,7,56] 3 [-3:4:1] 3030l2 [1,0,1,-68,-1534] 1 [17:39:1]
3030m (4 curves)	1	2+ 3- 5- 101+	2+ 3- 5- -4  6 -4  0 -4
Curve Equation t Generators 3030m1 [1,0,1,-4110853,3207742256] 6 [-2285:27062:1] 3030m2 [1,0,1,-4128133,3179409968] 6 [-2286:27055:1] 3030m3 [1,0,1,-4780228,2092941506] 2 [3510:69851:8] 3030m4 [1,0,1,-36237508,-82514558782] 2 [-13899716754:67872569395:3652264]
3030n (4 curves)	0	2+ 3- 5- 101-	2+ 3- 5-  0  4  6  2  4
Curve Equation t 3030n1 [1,0,1,-3733,57056] 2 3030n2 [1,0,1,-24213,-1409312] 4 3030n3 [1,0,1,-384213,-91697312] 2 3030n4 [1,0,1,8107,-4886944] 4
3030o (2 curves)	1	2- 3+ 5+ 101-	2- 3+ 5+  0  0  0  0 -4
Curve Equation t Generators 3030o1 [1,1,1,-161796,-25094907] 2 [-231:257:1] 3030o2 [1,1,1,-122916,-37412091] 2 [1713:68297:1]
3030p (1 curve)	1	2- 3+ 5+ 101-	2- 3+ 5+ -3  0  3  3 -4
Curve Equation t Generators 3030p1 [1,1,1,14,-1] 1 [1:3:1]
3030q (2 curves)	1	2- 3+ 5- 101+	2- 3+ 5- -4  2 -4  0  4
Curve Equation t Generators 3030q1 [1,1,1,-295,1757] 2 [-13:66:1] 3030q2 [1,1,1,-775,-6115] 2 [-17:58:1]
3030r (2 curves)	1	2- 3- 5+ 101+	2- 3- 5+ -1  0 -4 -3 -7
Curve Equation t Generators 3030r1 [1,0,0,21909,995121] 3 [-24:687:1] 3030r2 [1,0,0,-224331,-56425455] 1 [1368:46191:1]
3030s (2 curves)	1	2- 3- 5+ 101+	2- 3- 5+ -1 -6 -1 -3  2
Curve Equation t Generators 3030s1 [1,0,0,-71,225] 3 [0:15:1] 3030s2 [1,0,0,139,1191] 1 [102:519:8]
3030t (2 curves)	0	2- 3- 5+ 101-	2- 3- 5+  0 -2  0  8  4
Curve Equation t 3030t1 [1,0,0,-271,-1735] 2 3030t2 [1,0,0,-391,-79] 2
3030u (1 curve)	1	2- 3- 5- 101-	2- 3- 5- -3 -2 -3 -7 -2
Curve Equation t Generators 3030u1 [1,0,0,-1110,20772] 1 [24:-102:1]

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