Cremona's table of elliptic curves

24780 = 2² · 3 · 5 · 7 · 59

Class	r	Atkin-Lehner	Eigenvalues
24780a (1 curve)	0	2- 3+ 5+ 7+ 59+	2- 3+ 5+ 7+ -3  1  7 -5
Curve Equation t 24780a1 [0,-1,0,-7901,170265] 1
24780b (1 curve)	0	2- 3+ 5+ 7+ 59+	2- 3+ 5+ 7+  5 -6 -2  4
Curve Equation t 24780b1 [0,-1,0,-2021,-70815] 1
24780c (2 curves)	1	2- 3+ 5+ 7+ 59-	2- 3+ 5+ 7+  0  4 -2 -4
Curve Equation t Generators 24780c1 [0,-1,0,-161,34986] 2 [-7:189:1] 24780c2 [0,-1,0,-17036,851736] 2 [10:826:1]
24780d (1 curve)	1	2- 3+ 5+ 7- 59+	2- 3+ 5+ 7- -5  2  1 -7
Curve Equation t Generators 24780d1 [0,-1,0,44,280] 1 [1:18:1]
24780e (2 curves)	1	2- 3+ 5- 7+ 59+	2- 3+ 5- 7+  2 -4  6  4
Curve Equation t Generators 24780e1 [0,-1,0,-505,5122] 2 [9:-35:1] 24780e2 [0,-1,0,-8380,298072] 2 [-6:590:1]
24780f (2 curves)	2	2- 3+ 5- 7- 59+	2- 3+ 5- 7- -4 -4 -6 -8
Curve Equation t Generators 24780f1 [0,-1,0,-6105,187650] 2 [57:-147:1]&[-55:595:1] 24780f2 [0,-1,0,-97980,11837400] 2 [4710:4130:27]&[-55:4130:1]
24780g (2 curves)	1	2- 3+ 5- 7- 59-	2- 3+ 5- 7- -2 -4  6 -4
Curve Equation t Generators 24780g1 [0,-1,0,-12334785,75534074442] 2 [-5061:91125:1] 24780g2 [0,-1,0,-354131660,2557389543192] 2 [10314:44250:1]
24780h (2 curves)	1	2- 3- 5+ 7+ 59+	2- 3- 5+ 7+  0 -2 -2  2
Curve Equation t Generators 24780h1 [0,1,0,-161,60] 2 [-8:30:1] 24780h2 [0,1,0,-1636,-25900] 2 [59:294:1]
24780i (2 curves)	1	2- 3- 5+ 7+ 59+	2- 3- 5+ 7+ -2  4  2  4
Curve Equation t Generators 24780i1 [0,1,0,119,-556] 2 [116:1260:1] 24780i2 [0,1,0,-756,-6156] 2 [-21:30:1]
24780j (2 curves)	0	2- 3- 5+ 7+ 59-	2- 3- 5+ 7+  4  6 -2  6
Curve Equation t 24780j1 [0,1,0,-441,-3216] 2 24780j2 [0,1,0,-1916,28644] 2
24780k (1 curve)	0	2- 3- 5+ 7+ 59-	2- 3- 5+ 7+ -5  6  1  3
Curve Equation t 24780k1 [0,1,0,-245036,-46834236] 1
24780l (4 curves)	0	2- 3- 5+ 7- 59+	2- 3- 5+ 7-  0 -4  6 -4
Curve Equation t 24780l1 [0,1,0,1493639,1031314760] 6 24780l2 [0,1,0,-10808236,10803924260] 6 24780l3 [0,1,0,-14223601,-38251640476] 2 24780l4 [0,1,0,-277895476,-1782282890476] 2
24780m (1 curve)	0	2- 3- 5- 7+ 59+	2- 3- 5- 7+  5 -5  5  7
Curve Equation t 24780m1 [0,1,0,-21645,-1229985] 1
24780n (2 curves)	1	2- 3- 5- 7+ 59-	2- 3- 5- 7+ -4  4  2 -8
Curve Equation t Generators 24780n1 [0,1,0,48615,-3136500] 2 [648:17346:1] 24780n2 [0,1,0,-249060,-28379340] 2 [-357:3894:1]
24780o (4 curves)	1	2- 3- 5- 7- 59+	2- 3- 5- 7-  0  2 -6  2
Curve Equation t Generators 24780o1 [0,1,0,-48385,4046408] 6 [-109:2835:1] 24780o2 [0,1,0,-85260,-3004092] 6 [-48:990:1] 24780o3 [0,1,0,-345385,-75892492] 2 [-304:1050:1] 24780o4 [0,1,0,-5479860,-4939267212] 2 [-3709482:199485:2744]
24780p (2 curves)	0	2- 3- 5- 7- 59-	2- 3- 5- 7-  0 -2  6 -4
Curve Equation t 24780p1 [0,1,0,-1205,-17400] 2 24780p2 [0,1,0,-19580,-1061100] 2

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