Cremona's table of elliptic curves

7225 = 5² · 17²

Class	r	Atkin-Lehner	Eigenvalues
7225a (2 curves)	1	5+ 17+	0 -2 5+  2  3 -2 17+ -7
Curve Equation t Generators 7225a1 [0,1,1,-283,-1531] 1 [-7:12:1] 7225a2 [0,1,1,-21533,-1223406] 1 [-29176:-134:343]
7225b (4 curves)	1	5+ 17+	1  0 5+  4  0  2 17+ -4
Curve Equation t Generators 7225b1 [1,-1,0,-4967,58816] 2 [-8820:33526:125] 7225b2 [1,-1,0,-41092,-3156309] 4 [551230696086:-6049030627543:1902014919] 7225b3 [1,-1,0,-655217,-203975184] 2 [-1884000728135615376210:917714583723572604207:4033422215926741000] 7225b4 [1,-1,0,-4967,-8538934] 2 [3523674:60048038:9261]
7225c (1 curve)	1	5+ 17+	-1 -1 5+  1  4  1 17+ -6
Curve Equation t Generators 7225c1 [1,1,1,-873,10696] 1 [-16:152:1]
7225d (1 curve)	1	5+ 17+	-1 -1 5+ -5 -2 -2 17+  6
Curve Equation t Generators 7225d1 [1,1,1,62,156] 1 [0:12:1]
7225e (2 curves)	1	5+ 17+	-1  2 5+ -2 -2 -2 17+  0
Curve Equation t Generators 7225e1 [1,1,1,-61563,-5873344] 2 [-2354400:2744032:15625] 7225e2 [1,1,1,-25438,-12664844] 2 [774450:24448348:729]
7225f (2 curves)	0	5+ 17-	0  2 5+ -2 -3 -2 17- -7
Curve Equation t 7225f1 [0,-1,1,-81883,-7029457] 1 7225f2 [0,-1,1,-6223133,-5973253832] 1
7225g (1 curve)	0	5+ 17-	-1  1 5+  5  2 -2 17-  6
Curve Equation t 7225g1 [1,0,0,17912,641917] 1
7225h (1 curve)	0	5- 17+	1  1 5- -1  4 -1 17+ -6
Curve Equation t 7225h1 [1,0,1,-21826,1380673] 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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