Cremona's table of elliptic curves

12495 = 3 · 5 · 7² · 17

Class	r	Atkin-Lehner	Eigenvalues
12495a (6 curves)	0	3+ 5+ 7- 17+	-1 3+ 5+ 7-  4 -6 17+  4
Curve Equation t 12495a1 [1,1,1,1714,-66886] 2 12495a2 [1,1,1,-18131,-836872] 4 12495a3 [1,1,1,-280526,-57304276] 2 12495a4 [1,1,1,-73256,6748328] 4 12495a5 [1,1,1,-1135331,465139898] 2 12495a6 [1,1,1,106819,34912058] 2
12495b (6 curves)	0	3+ 5+ 7- 17+	-1 3+ 5+ 7- -4  2 17+  4
Curve Equation t 12495b1 [1,1,1,-191346,-32296146] 2 12495b2 [1,1,1,-191591,-32209612] 4 12495b3 [1,1,1,-299636,8069564] 4 12495b4 [1,1,1,-87466,-66945712] 2 12495b5 [1,1,1,-3515261,2530405814] 2 12495b6 [1,1,1,1187269,65761478] 2
12495c (2 curves)	1	3+ 5+ 7- 17-	1 3+ 5+ 7-  0 -4 17- -2
Curve Equation t Generators 12495c1 [1,1,0,5680937,13235803792] 2 [59632:14544352:1] 12495c2 [1,1,0,-61295938,163572097417] 2 [478806:115937441:8]
12495d (2 curves)	1	3+ 5- 7- 17+	0 3+ 5- 7- -6  1 17+ -2
Curve Equation t Generators 12495d1 [0,-1,1,-6925,291003] 1 [-23:661:1] 12495d2 [0,-1,1,-606685,182085756] 1 [460:367:1]
12495e (1 curve)	1	3+ 5- 7- 17+	2 3+ 5- 7- -2  5 17+ -8
Curve Equation t Generators 12495e1 [0,-1,1,-380,6761] 1 [68:5071:64]
12495f (4 curves)	0	3+ 5- 7- 17-	1 3+ 5- 7-  0  2 17-  4
Curve Equation t 12495f1 [1,1,0,14038,-84489] 2 12495f2 [1,1,0,-56767,-750056] 4 12495f3 [1,1,0,-669022,-210508619] 2 12495f4 [1,1,0,-577392,167828319] 2
12495g (4 curves)	0	3+ 5- 7- 17-	1 3+ 5- 7-  0 -6 17- -4
Curve Equation t 12495g1 [1,1,0,2033,387136] 2 12495g2 [1,1,0,-68772,6660459] 4 12495g3 [1,1,0,-181227,-20846034] 2 12495g4 [1,1,0,-1089197,437075724] 2
12495h (4 curves)	0	3+ 5- 7- 17-	-1 3+ 5- 7-  0  6 17- -4
Curve Equation t 12495h1 [1,1,1,685,-11320] 4 12495h2 [1,1,1,-5440,-128920] 4 12495h3 [1,1,1,-82615,-9173830] 2 12495h4 [1,1,1,-26265,1512090] 2
12495i (1 curve)	1	3- 5+ 7- 17+	0 3- 5+ 7- -2 -3 17+  2
Curve Equation t Generators 12495i1 [0,1,1,-1731,-41569] 1 [51:73:1]
12495j (4 curves)	1	3- 5+ 7- 17+	1 3- 5+ 7-  4  2 17+  0
Curve Equation t Generators 12495j1 [1,0,1,-1839,30181] 2 [101000:1337659:512] 12495j2 [1,0,1,-2084,21557] 4 [6262:171795:8] 12495j3 [1,0,1,-14579,-663169] 2 [786110:21373911:1000] 12495j4 [1,0,1,6491,155327] 2 [109:1415:1]
12495k (4 curves)	1	3- 5+ 7- 17+	-1 3- 5+ 7-  4 -2 17+ -8
Curve Equation t Generators 12495k1 [1,0,0,-16416,808191] 2 [75:-21:1] 12495k2 [1,0,0,-16661,782760] 4 [-59:1279:1] 12495k3 [1,0,0,-49736,-3298695] 2 [-104:919:1] 12495k4 [1,0,0,12494,3237611] 2 [11:1832:1]
12495l (2 curves)	0	3- 5+ 7- 17-	1 3- 5+ 7-  0  0 17- -2
Curve Equation t 12495l1 [1,0,1,-124,2741] 2 12495l2 [1,0,1,-3799,89471] 2
12495m (1 curve)	0	3- 5+ 7- 17-	2 3- 5+ 7- -2 -5 17-  8
Curve Equation t 12495m1 [0,1,1,-18636,-2281849] 1
12495n (1 curve)	0	3- 5- 7- 17+	0 3- 5- 7-  2  5 17+ -2
Curve Equation t 12495n1 [0,1,1,-233232715,-1371284647694] 1
12495o (2 curves)	0	3- 5- 7- 17+	1 3- 5- 7- -4  4 17+ -6
Curve Equation t 12495o1 [1,0,1,3747,145723] 2 12495o2 [1,0,1,-29328,1574563] 2
12495p (4 curves)	1	3- 5- 7- 17-	1 3- 5- 7- -4 -2 17-  4
Curve Equation t Generators 12495p1 [1,0,1,1542,31063] 2 [47:432:1] 12495p2 [1,0,1,-10463,314381] 4 [-3:589:1] 12495p3 [1,0,1,-56768,-4945867] 2 [-141:580:1] 12495p4 [1,0,1,-156238,23755001] 4 [10861:1125734:1]
12495q (4 curves)	1	3- 5- 7- 17-	-1 3- 5- 7-  0  2 17-  0
Curve Equation t Generators 12495q1 [1,0,0,-8870,729987] 4 [-41:1033:1] 12495q2 [1,0,0,-187475,31200000] 4 [-185:7810:1] 12495q3 [1,0,0,-233780,14595027] 2 [529:-6512:1] 12495q4 [1,0,0,-2998850,1998600225] 2 [1000:-485:1]

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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