Cremona's table of elliptic curves

22425 = 3 · 5² · 13 · 23

Class	r	Atkin-Lehner	Eigenvalues
22425a (2 curves)	0	3+ 5+ 13+ 23-	1 3+ 5+ -2  2 13+  6 -2
Curve Equation t 22425a1 [1,1,0,0,-1125] 2 22425a2 [1,1,0,-1625,-25500] 2
22425b (4 curves)	0	3+ 5+ 13+ 23-	1 3+ 5+  4 -4 13+ -6 -8
Curve Equation t 22425b1 [1,1,0,-490050,133680375] 2 22425b2 [1,1,0,-7871175,8496495000] 4 22425b3 [1,1,0,-7901550,8427574125] 2 22425b4 [1,1,0,-125938800,543933174375] 2
22425c (1 curve)	2	3+ 5+ 13+ 23-	-1 3+ 5+ -1 -3 13+ -6 -4
Curve Equation t Generators 22425c1 [1,1,1,537,3906] 1 [0:62:1]&[15:117:1]
22425d (2 curves)	0	3+ 5+ 13+ 23-	-1 3+ 5+  2 -6 13+  6  2
Curve Equation t 22425d1 [1,1,1,3272112,-7465690344] 2 22425d2 [1,1,1,-43139513,-99453531094] 2
22425e (1 curve)	2	3+ 5+ 13- 23+	1 3+ 5+ -1 -3 13- -6  0
Curve Equation t Generators 22425e1 [1,1,0,-1650,25125] 1 [-20:235:1]&[20:15:1]
22425f (1 curve)	0	3+ 5+ 13- 23+	1 3+ 5+  2  3 13- -3  6
Curve Equation t 22425f1 [1,1,0,-7825,-269750] 1
22425g (2 curves)	0	3+ 5+ 13- 23+	1 3+ 5+  4  2 13-  4  0
Curve Equation t 22425g1 [1,1,0,-1973900,-1364536125] 2 22425g2 [1,1,0,-33958775,-76177158750] 2
22425h (1 curve)	2	3+ 5+ 13- 23+	-2 3+ 5+ -1 -6 13- -3 -6
Curve Equation t Generators 22425h1 [0,-1,1,1592,-95532] 1 [37:112:1]&[62:487:1]
22425i (1 curve)	0	3+ 5- 13+ 23+	-1 3+ 5- -2  5 13+  3  6
Curve Equation t 22425i1 [1,1,1,5362,-15844] 1
22425j (1 curve)	1	3+ 5- 13+ 23-	1 3+ 5-  3 -3 13+  6 -2
Curve Equation t Generators 22425j1 [1,1,0,-10075,802750] 1 [174:2000:1]
22425k (1 curve)	2	3+ 5- 13- 23-	0 3+ 5- -5  2 13- -5 -4
Curve Equation t Generators 22425k1 [0,-1,1,-11993,509588] 1 [-118:517:1]&[8:643:1]
22425l (4 curves)	0	3- 5+ 13+ 23+	1 3- 5+  0  0 13+ -6 -4
Curve Equation t 22425l1 [1,0,1,-476,-4027] 2 22425l2 [1,0,1,-601,-1777] 4 22425l3 [1,0,1,2274,-13277] 2 22425l4 [1,0,1,-5476,154223] 2
22425m (4 curves)	1	3- 5+ 13+ 23-	1 3- 5+ -4  0 13+ -2  0
Curve Equation t Generators 22425m1 [1,0,1,-1301,23123] 2 [21:61:1] 22425m2 [1,0,1,-22426,1290623] 4 [67:266:1] 22425m3 [1,0,1,-24051,1092373] 2 [-19:1251:1] 22425m4 [1,0,1,-358801,82693373] 2 [2774:-1133:8]
22425n (2 curves)	1	3- 5+ 13+ 23-	-1 3- 5+ -2 -2 13+ -2  6
Curve Equation t Generators 22425n1 [1,0,0,-2438,699867] 2 [-23:874:1] 22425n2 [1,0,0,-134063,18732492] 2 [52:3424:1]
22425o (1 curve)	1	3- 5+ 13- 23+	1 3- 5+ -3  5 13- -2 -8
Curve Equation t Generators 22425o1 [1,0,1,62374,13812773] 1 [413:10284:1]
22425p (2 curves)	0	3- 5+ 13- 23-	1 3- 5+  0  2 13-  4  4
Curve Equation t 22425p1 [1,0,1,103499,17719523] 2 22425p2 [1,0,1,-720376,182494523] 2
22425q (1 curve)	0	3- 5+ 13- 23-	1 3- 5+  2  5 13- -3  6
Curve Equation t 22425q1 [1,0,1,214,-127] 1
22425r (2 curves)	0	3- 5+ 13- 23-	1 3- 5+ -4  2 13-  0  0
Curve Equation t 22425r1 [1,0,1,-26026,-1681177] 2 22425r2 [1,0,1,-420901,-105138427] 2
22425s (1 curve)	1	3- 5- 13+ 23+	0 3- 5-  5  2 13+  5 -4
Curve Equation t Generators 22425s1 [0,1,1,-299833,63098869] 1 [233:2437:1]
22425t (1 curve)	0	3- 5- 13+ 23-	-1 3- 5- -2  3 13+  3  6
Curve Equation t 22425t1 [1,0,0,-313,-2158] 1
22425u (1 curve)	2	3- 5- 13- 23+	-1 3- 5- -3 -3 13- -6 -2
Curve Equation t Generators 22425u1 [1,0,0,-403,6422] 1 [-19:95:1]&[-13:104:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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