Cremona's table of elliptic curves

25935 = 3 · 5 · 7 · 13 · 19

Class	r	Atkin-Lehner	Eigenvalues
25935a (4 curves)	0	3+ 5+ 7+ 13- 19+	1 3+ 5+ 7+  0 13-  6 19+
Curve Equation t 25935a1 [1,1,0,152,-317] 2 25935a2 [1,1,0,-693,-3528] 4 25935a3 [1,1,0,-5568,155397] 2 25935a4 [1,1,0,-9338,-351057] 2
25935b (4 curves)	1	3+ 5+ 7+ 13- 19-	1 3+ 5+ 7+  0 13- -6 19-
Curve Equation t Generators 25935b1 [1,1,0,-19798,-1080473] 2 [494:10241:1] 25935b2 [1,1,0,-20643,-984312] 4 [196:1498:1] 25935b3 [1,1,0,36232,-5386437] 2 [124052:5425535:64] 25935b4 [1,1,0,-91038,9589017] 2 [15508:78829:64]
25935c (2 curves)	1	3+ 5+ 7+ 13- 19-	1 3+ 5+ 7+ -6 13- -4 19-
Curve Equation t Generators 25935c1 [1,1,0,-12978,-574497] 2 [334:5533:1] 25935c2 [1,1,0,-12603,-608772] 2 [164:1248:1]
25935d (2 curves)	1	3+ 5+ 7+ 13- 19-	-1 3+ 5+ 7+ -2 13-  4 19-
Curve Equation t Generators 25935d1 [1,1,1,-70861,5591714] 2 [-274:2265:1] 25935d2 [1,1,1,163514,35029214] 2 [214:8830:1]
25935e (1 curve)	1	3+ 5+ 7+ 13- 19-	-2 3+ 5+ 7+  3 13-  2 19-
Curve Equation t Generators 25935e1 [0,-1,1,84243074,-47654169168] 1 [3351:521787:1]
25935f (4 curves)	1	3+ 5+ 7- 13+ 19-	-1 3+ 5+ 7- -4 13+  2 19-
Curve Equation t Generators 25935f1 [1,1,1,-111,-36] 2 [-2:14:1] 25935f2 [1,1,1,-1236,16164] 4 [24:-45:1] 25935f3 [1,1,1,-711,30654] 2 [3:-171:1] 25935f4 [1,1,1,-19761,1060974] 2 [81:-37:1]
25935g (1 curve)	1	3+ 5+ 7- 13+ 19-	-2 3+ 5+ 7-  0 13+ -2 19-
Curve Equation t Generators 25935g1 [0,-1,1,114,-394] 1 [11:-46:1]
25935h (2 curves)	1	3+ 5+ 7- 13- 19+	-1 3+ 5+ 7-  0 13-  0 19+
Curve Equation t Generators 25935h1 [1,1,1,-15021,-1542486] 2 [326:5160:1] 25935h2 [1,1,1,-311616,-67030662] 2 [-324:389:1]
25935i (4 curves)	0	3+ 5- 7+ 13- 19-	-1 3+ 5- 7+  4 13- -2 19-
Curve Equation t 25935i1 [1,1,1,-157105,-24031450] 2 25935i2 [1,1,1,-169110,-20161038] 4 25935i3 [1,1,1,412765,-127924288] 2 25935i4 [1,1,1,-943065,335548680] 4
25935j (4 curves)	1	3+ 5- 7- 13+ 19+	1 3+ 5- 7- -4 13+  2 19+
Curve Equation t Generators 25935j1 [1,1,0,-262,679] 2 [78:641:1] 25935j2 [1,1,0,-2067,-36504] 4 [-28:34:1] 25935j3 [1,1,0,-72,-101541] 2 [574:3863:8] 25935j4 [1,1,0,-32942,-2315079] 2 [2686:38347:8]
25935k (4 curves)	0	3+ 5- 7- 13+ 19-	1 3+ 5- 7-  0 13+  6 19-
Curve Equation t 25935k1 [1,1,0,-49725392,276363900771] 2 25935k2 [1,1,0,-1008976397,12327050576184] 4 25935k3 [1,1,0,-1225398272,6652425729309] 2 25935k4 [1,1,0,-16140570602,789264807669591] 2
25935l (2 curves)	0	3+ 5- 7- 13- 19+	1 3+ 5- 7-  6 13-  0 19+
Curve Equation t 25935l1 [1,1,0,-5862,-174321] 2 25935l2 [1,1,0,-2487,-369396] 2
25935m (4 curves)	2	3- 5+ 7+ 13+ 19+	-1 3- 5+ 7+ -4 13+ -6 19+
Curve Equation t Generators 25935m1 [1,0,0,-711,-7344] 2 [-15:9:1]&[48:240:1] 25935m2 [1,0,0,-956,-1905] 4 [-29:55:1]&[61:-440:1] 25935m3 [1,0,0,3769,-14190] 2 [6:90:1]&[46:-530:1] 25935m4 [1,0,0,-9601,359456] 2 [41:167:1]&[-67:872:1]
25935n (1 curve)	1	3- 5+ 7+ 13+ 19-	-2 3- 5+ 7+ -5 13+ -6 19-
Curve Equation t Generators 25935n1 [0,1,1,-1386,24320] 1 [84:-713:1]
25935o (4 curves)	1	3- 5- 7+ 13+ 19+	1 3- 5- 7+  0 13+  6 19+
Curve Equation t Generators 25935o1 [1,0,1,-333,-2357] 2 [53:333:1] 25935o2 [1,0,1,-458,-457] 4 [-138:455:8] 25935o3 [1,0,1,1817,-3187] 2 [86:1015:8] 25935o4 [1,0,1,-4733,124373] 2 [1686:22475:8]
25935p (2 curves)	0	3- 5- 7+ 13- 19+	1 3- 5- 7+  4 13-  4 19+
Curve Equation t 25935p1 [1,0,1,25532,-821539] 2 25935p2 [1,0,1,-116623,-7019497] 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
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