Cremona's table of elliptic curves

12915 = 3² · 5 · 7 · 41

Class	r	Atkin-Lehner	Eigenvalues
12915a (2 curves)	1	3+ 5+ 7- 41-	-1 3+ 5+ 7- -4 -2 -2 -2
Curve Equation t Generators 12915a1 [1,-1,1,52,-674] 2 [8:10:1] 12915a2 [1,-1,1,-893,-9368] 2 [-20:23:1]
12915b (2 curves)	1	3+ 5- 7- 41+	1 3+ 5- 7-  4 -2  2 -2
Curve Equation t Generators 12915b1 [1,-1,0,6,23] 2 [14:45:1] 12915b2 [1,-1,0,-99,380] 2 [4:4:1]
12915c (1 curve)	0	3- 5+ 7+ 41+	0 3- 5+ 7+  0  4 -2  3
Curve Equation t 12915c1 [0,0,1,792,749] 1
12915d (4 curves)	0	3- 5+ 7+ 41+	1 3- 5+ 7+  0  2 -6  0
Curve Equation t 12915d1 [1,-1,0,-50265,3383856] 2 12915d2 [1,-1,0,-753390,251868231] 4 12915d3 [1,-1,0,-12054015,16111165356] 2 12915d4 [1,-1,0,-702765,287133606] 2
12915e (6 curves)	0	3- 5+ 7+ 41+	1 3- 5+ 7+  4  6  6  4
Curve Equation t 12915e1 [1,-1,0,-762795,-256234104] 2 12915e2 [1,-1,0,-762840,-256202325] 4 12915e3 [1,-1,0,-853965,-191084400] 4 12915e4 [1,-1,0,-672435,-319286934] 2 12915e5 [1,-1,0,-5715990,5121164115] 2 12915e6 [1,-1,0,2550060,-1336879215] 2
12915f (4 curves)	0	3- 5+ 7+ 41+	-1 3- 5+ 7+  4  6 -2 -4
Curve Equation t 12915f1 [1,-1,1,-7268,-236658] 2 12915f2 [1,-1,1,-7313,-233544] 4 12915f3 [1,-1,1,-16538,482316] 2 12915f4 [1,-1,1,1192,-750648] 2
12915g (1 curve)	0	3- 5+ 7+ 41+	2 3- 5+ 7+  4  0  4  5
Curve Equation t 12915g1 [0,0,1,-3,49] 1
12915h (1 curve)	2	3- 5+ 7+ 41+	-2 3- 5+ 7+ -5  0 -3 -2
Curve Equation t Generators 12915h1 [0,0,1,-3,504] 1 [-6:17:1]&[-1:22:1]
12915i (6 curves)	1	3- 5+ 7- 41+	1 3- 5+ 7- -4 -2  6 -4
Curve Equation t Generators 12915i1 [1,-1,0,-5265,-97200] 2 [516:11334:1] 12915i2 [1,-1,0,-33390,2282175] 4 [126:189:1] 12915i3 [1,-1,0,-529515,148440600] 4 [-300:16890:1] 12915i4 [1,-1,0,12735,8066250] 2 [78:3048:1] 12915i5 [1,-1,0,-8472240,9493850835] 2 [21134:585067:8] 12915i6 [1,-1,0,-524790,151216065] 2 [-19116:1082871:64]
12915j (1 curve)	1	3- 5+ 7- 41+	2 3- 5+ 7-  3  0  1 -2
Curve Equation t Generators 12915j1 [0,0,1,33387,4441293] 1 [-542:10931:8]
12915k (1 curve)	1	3- 5+ 7- 41+	-2 3- 5+ 7- -3 -5  3 -6
Curve Equation t Generators 12915k1 [0,0,1,-15993,1085528] 1 [124:1004:1]
12915l (2 curves)	0	3- 5+ 7- 41-	0 3- 5+ 7-  0 -4  6  5
Curve Equation t 12915l1 [0,0,1,-3828,201204] 1 12915l2 [0,0,1,-404778,99122859] 3
12915m (1 curve)	0	3- 5+ 7- 41-	2 3- 5+ 7- -3 -1 -1 -6
Curve Equation t 12915m1 [0,0,1,-1623,276853] 1
12915n (1 curve)	0	3- 5+ 7- 41-	2 3- 5+ 7- -3 -4 -1  6
Curve Equation t 12915n1 [0,0,1,-88833,-10191101] 1
12915o (2 curves)	1	3- 5- 7+ 41+	1 3- 5- 7+  0  2  0  0
Curve Equation t Generators 12915o1 [1,-1,0,-369,0] 2 [36:162:1] 12915o2 [1,-1,0,1476,-1107] 2 [12:129:1]
12915p (2 curves)	1	3- 5- 7+ 41+	-1 3- 5- 7+ -4 -2 -4 -4
Curve Equation t Generators 12915p1 [1,-1,1,-12182,520364] 2 [22:501:1] 12915p2 [1,-1,1,-10337,681986] 2 [6:784:1]
12915q (2 curves)	0	3- 5- 7- 41+	1 3- 5- 7-  0  2  4  0
Curve Equation t 12915q1 [1,-1,0,-8559,-302432] 2 12915q2 [1,-1,0,-6714,-437855] 2
12915r (1 curve)	1	3- 5- 7- 41-	0 3- 5- 7-  3  0 -3  2
Curve Equation t Generators 12915r1 [0,0,1,-3469332,2501526037] 1 [4357:264757:1]
12915s (2 curves)	1	3- 5- 7- 41-	1 3- 5- 7-  2 -4 -4 -2
Curve Equation t Generators 12915s1 [1,-1,0,-165744,-25930125] 2 [666:12267:1] 12915s2 [1,-1,0,-160119,-27776250] 2 [726:15072:1]
12915t (2 curves)	1	3- 5- 7- 41-	-1 3- 5- 7- -2 -4  0  2
Curve Equation t Generators 12915t1 [1,-1,1,-30497,2057496] 2 [96:39:1] 12915t2 [1,-1,1,-30272,2089176] 2 [14:1284:1]

Data from Elliptic Curve Data by J. E. Cremona.
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