Cremona's table of elliptic curves

15190 = 2 · 5 · 7² · 31

Class	r	Atkin-Lehner	Eigenvalues
15190a (1 curve)	1	2+ 5+ 7+ 31+	2+  1 5+ 7+  4  1  0 -8
Curve Equation t Generators 15190a1 [1,0,1,-2387159,1421135482] 1 [886:904:1]
15190b (1 curve)	1	2+ 5+ 7+ 31+	2+ -3 5+ 7+ -2  4 -4  6
Curve Equation t Generators 15190b1 [1,-1,0,-163375,35924461] 1 [150:3769:1]
15190c (2 curves)	0	2+ 5+ 7- 31+	2+ -1 5+ 7-  3  1  0  1
Curve Equation t 15190c1 [1,1,0,-70683,-7259363] 1 15190c2 [1,1,0,-216458,30026452] 1
15190d (4 curves)	0	2+ 5+ 7- 31+	2+  2 5+ 7-  0 -2  0  4
Curve Equation t 15190d1 [1,1,0,315192,-105948352] 2 15190d2 [1,1,0,-2373928,-1132654368] 2 15190d3 [1,1,0,-2986183,3821907573] 2 15190d4 [1,1,0,-59183303,175121968757] 2
15190e (2 curves)	2	2+ 5+ 7- 31+	2+ -2 5+ 7-  0 -2 -4 -4
Curve Equation t Generators 15190e1 [1,0,1,-124,25722] 2 [-24:134:1]&[1:159:1] 15190e2 [1,0,1,-13844,618426] 2 [-80:1142:1]&[18:603:1]
15190f (1 curve)	0	2+ 5+ 7- 31+	2+ -2 5+ 7-  3  1  2  5
Curve Equation t 15190f1 [1,0,1,2094591,-6289262668] 1
15190g (1 curve)	0	2+ 5+ 7- 31+	2+ -3 5+ 7- -3 -1 -4 -1
Curve Equation t 15190g1 [1,-1,0,-2262535,-1304699075] 1
15190h (1 curve)	1	2+ 5+ 7- 31-	2+  1 5+ 7-  1 -1  8 -7
Curve Equation t Generators 15190h1 [1,0,1,-4289,-101678] 1 [-1194:1784:27]
15190i (1 curve)	1	2+ 5+ 7- 31-	2+ -2 5+ 7- -5 -7  2  5
Curve Equation t Generators 15190i1 [1,0,1,191,102] 1 [8:42:1]
15190j (1 curve)	1	2+ 5+ 7- 31-	2+  3 5+ 7-  4 -1 -8  0
Curve Equation t Generators 15190j1 [1,-1,0,-1429045,1047526325] 1 [884146883295:35106902307040:1689410871]
15190k (1 curve)	1	2+ 5+ 7- 31-	2+ -3 5+ 7- -1  1 -6 -3
Curve Equation t Generators 15190k1 [1,-1,0,-6085,-179915] 1 [-47:48:1]
15190l (1 curve)	0	2+ 5- 7+ 31+	2+  2 5- 7+ -5  7 -2 -5
Curve Equation t 15190l1 [1,1,0,9383,-25689] 1
15190m (1 curve)	0	2+ 5- 7+ 31+	2+ -3 5- 7+  4  1  8  0
Curve Equation t 15190m1 [1,-1,0,-29164,-3045680] 1
15190n (1 curve)	1	2+ 5- 7+ 31-	2+  2 5- 7+  3 -1 -2 -5
Curve Equation t Generators 15190n1 [1,1,0,102634983,2157319730021] 1 [-10123:289874:1]
15190o (3 curves)	1	2+ 5- 7- 31+	2+ -1 5- 7-  3 -5  6  7
Curve Equation t Generators 15190o1 [1,1,0,-28837,-1896901] 1 [-12305:6177:125] 15190o2 [1,1,0,-32022,-1456244] 1 [-113:914:1] 15190o3 [1,1,0,-1042157,408988189] 1 [573:326:1]
15190p (1 curve)	0	2+ 5- 7- 31-	2+ -1 5- 7-  4 -1  0  8
Curve Equation t 15190p1 [1,1,0,-48717,-4164131] 1
15190q (2 curves)	0	2+ 5- 7- 31-	2+  2 5- 7-  0 -6  4  8
Curve Equation t 15190q1 [1,1,0,563,-3639] 2 15190q2 [1,1,0,-2867,-35881] 2
15190r (1 curve)	0	2+ 5- 7- 31-	2+  3 5- 7- -2 -4  4 -6
Curve Equation t 15190r1 [1,-1,0,-8005384,-12306079360] 1
15190s (1 curve)	0	2+ 5- 7- 31-	2+  3 5- 7- -3  1  4  1
Curve Equation t 15190s1 [1,-1,0,-46174,3816980] 1
15190t (1 curve)	0	2+ 5- 7- 31-	2+ -3 5- 7- -5 -1  4  3
Curve Equation t 15190t1 [1,-1,0,-871973629,9192501251653] 1
15190u (1 curve)	0	2- 5+ 7+ 31+	2-  0 5+ 7+ -5  1 -4 -3
Curve Equation t 15190u1 [1,-1,1,-9883,-392269] 1
15190v (1 curve)	0	2- 5+ 7+ 31+	2-  1 5+ 7+  4  4 -6  4
Curve Equation t 15190v1 [1,0,0,-2712151,-1719444119] 1
15190w (1 curve)	1	2- 5+ 7+ 31-	2- -3 5+ 7+ -4  4 -6 -4
Curve Equation t Generators 15190w1 [1,-1,1,-1308,37167] 1 [135:1451:1]
15190x (2 curves)	1	2- 5+ 7- 31+	2-  1 5+ 7- -3  1  2  5
Curve Equation t Generators 15190x1 [1,0,0,-489756,53566736] 1 [-80:9644:1] 15190x2 [1,0,0,-252320356,1542661451176] 1 [73350:-33833:8]
15190y (1 curve)	1	2- 5+ 7- 31+	2- -1 5+ 7-  1  5  0 -1
Curve Equation t Generators 15190y1 [1,1,1,-12741,124459] 1 [-29:700:1]
15190z (2 curves)	0	2- 5+ 7- 31-	2- -2 5+ 7-  6  0  6  0
Curve Equation t 15190z1 [1,0,0,734,31296] 2 15190z2 [1,0,0,-11516,440446] 2
15190ba (1 curve)	0	2- 5+ 7- 31-	2-  3 5+ 7-  1  5  4 -3
Curve Equation t 15190ba1 [1,-1,1,-13803,-617669] 1
15190bb (2 curves)	0	2- 5- 7- 31+	2-  0 5- 7-  2  2  0 -8
Curve Equation t 15190bb1 [1,-1,1,-7972,279619] 2 15190bb2 [1,-1,1,-128022,17662859] 2
15190bc (2 curves)	0	2- 5- 7- 31+	2-  0 5- 7- -2 -6  4  0
Curve Equation t 15190bc1 [1,-1,1,-97642,-25206359] 2 15190bc2 [1,-1,1,-2018442,-1102390999] 2
15190bd (4 curves)	0	2- 5- 7- 31+	2-  2 5- 7-  0  4  0  4
Curve Equation t 15190bd1 [1,1,1,-5195,-149255] 2 15190bd2 [1,1,1,-83595,-9337735] 2 15190bd3 [1,1,1,22245,-621223] 2 15190bd4 [1,1,1,-100255,-5374223] 2
15190be (4 curves)	0	2- 5- 7- 31+	2-  2 5- 7-  6 -2  6  4
Curve Equation t 15190be1 [1,1,1,-6175,6380485] 2 15190be2 [1,1,1,-554975,157190725] 2 15190be3 [1,1,1,-2801135,1803369637] 2 15190be4 [1,1,1,-44818635,115469110637] 2
15190bf (1 curve)	0	2- 5- 7- 31+	2-  3 5- 7- -4 -4  6  4
Curve Equation t 15190bf1 [1,-1,1,-27,-101] 1
15190bg (2 curves)	1	2- 5- 7- 31-	2-  0 5- 7-  4 -4 -2  0
Curve Equation t Generators 15190bg1 [1,-1,1,21908258,-2652659859] 2 [2571:264539:1] 15190bg2 [1,-1,1,-87851742,-21180147859] 2 [-7689:450709:1]
15190bh (1 curve)	1	2- 5- 7- 31-	2-  0 5- 7- -5 -1  4  3
Curve Equation t Generators 15190bh1 [1,-1,1,-202,1201] 1 [31:139:1]
15190bi (1 curve)	1	2- 5- 7- 31-	2-  1 5- 7-  1 -5  0  1
Curve Equation t Generators 15190bi1 [1,0,0,-260,-400] 1 [-10:40:1]
15190bj (1 curve)	1	2- 5- 7- 31-	2- -1 5- 7-  4 -4  6 -4
Curve Equation t Generators 15190bj1 [1,1,1,-55350,4989235] 1 [143:-227:1]
15190bk (1 curve)	1	2- 5- 7- 31-	2- -1 5- 7- -5  5  0 -1
Curve Equation t Generators 15190bk1 [1,1,1,-295,1077] 1 [-15:56:1]
15190bl (2 curves)	1	2- 5- 7- 31-	2-  2 5- 7- -2 -4  6 -4
Curve Equation t Generators 15190bl1 [1,1,1,-133085,-60638285] 2 [1763:71148:1] 15190bl2 [1,1,1,-3269085,-2272145485] 2 [-1077:1468:1]
15190bm (2 curves)	1	2- 5- 7- 31-	2- -2 5- 7-  2  0 -2  4
Curve Equation t Generators 15190bm1 [1,0,0,-3235,72897] 2 [4:243:1] 15190bm2 [1,0,0,-52235,4590697] 2 [124:93:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations