Cremona's table of elliptic curves

6195 = 3 · 5 · 7 · 59

Class	r	Atkin-Lehner	Eigenvalues
6195a (1 curve)	1	3+ 5+ 7- 59-	0 3+ 5+ 7- -3 -5  3  7
Curve Equation t Generators 6195a1 [0,-1,1,-52871,-4113703] 1 [-95:206:1]
6195b (4 curves)	1	3+ 5+ 7- 59-	-1 3+ 5+ 7-  0  6 -2  0
Curve Equation t Generators 6195b1 [1,1,1,-2111,-38212] 2 [54:67:1] 6195b2 [1,1,1,-2156,-36556] 4 [-26:65:1] 6195b3 [1,1,1,-7301,195998] 2 [-68:653:1] 6195b4 [1,1,1,2269,-162226] 2 [151:1835:1]
6195c (4 curves)	0	3+ 5- 7+ 59+	1 3+ 5- 7+  4  2 -6  0
Curve Equation t 6195c1 [1,1,0,18,39] 2 6195c2 [1,1,0,-107,264] 4 6195c3 [1,1,0,-632,-6141] 2 6195c4 [1,1,0,-1582,23569] 2
6195d (1 curve)	0	3+ 5- 7+ 59+	-2 3+ 5- 7+  1  5 -3 -3
Curve Equation t 6195d1 [0,-1,1,-59710,-5595984] 1
6195e (4 curves)	1	3+ 5- 7+ 59-	-1 3+ 5- 7+  0 -2 -6  4
Curve Equation t Generators 6195e1 [1,1,1,-1180,-15220] 4 [345032:2303435:4913] 6195e2 [1,1,1,-18585,-982938] 4 [282:3896:1] 6195e3 [1,1,1,-297360,-62536458] 2 [91005:1250634:125] 6195e4 [1,1,1,-18290,-1015270] 2 [218:2218:1]
6195f (1 curve)	0	3- 5+ 7+ 59+	2 3- 5+ 7+  1 -1  7 -7
Curve Equation t 6195f1 [0,1,1,-26,5] 1
6195g (2 curves)	1	3- 5- 7+ 59+	1 3- 5- 7+ -6  2  6  4
Curve Equation t Generators 6195g1 [1,0,1,-88,233] 2 [1095:962:125] 6195g2 [1,0,1,207,1531] 2 [25:137:1]
6195h (2 curves)	1	3- 5- 7+ 59+	-1 3- 5- 7+ -2  2 -2 -4
Curve Equation t Generators 6195h1 [1,0,0,-4410,112347] 2 [-21:453:1] 6195h2 [1,0,0,-4115,128100] 2 [25:190:1]
6195i (2 curves)	0	3- 5- 7- 59+	0 3- 5- 7-  3  2 -6 -4
Curve Equation t 6195i1 [0,1,1,-15,56] 3 6195i2 [0,1,1,135,-1399] 1
6195j (1 curve)	1	3- 5- 7- 59-	0 3- 5- 7-  1 -3  1 -1
Curve Equation t Generators 6195j1 [0,1,1,-17185,857806] 1 [-70:1312:1]

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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