Cremona's table of elliptic curves

113088 = 2⁶ · 3 · 19 · 31

Class	r	Atkin-Lehner	Eigenvalues
113088a (4 curves)	1	2+ 3+ 19+ 31+	2+ 3+  2 -4  0 -6 -6 19+
Curve Equation t Generators 113088a1 [0,-1,0,-2372,-41250] 2 [67:310:1] 113088a2 [0,-1,0,-7177,184585] 4 [-33:620:1] 113088a3 [0,-1,0,16383,1122273] 2 [43:1380:1] 113088a4 [0,-1,0,-107617,13623457] 2 [193:72:1]
113088b (2 curves)	1	2+ 3+ 19+ 31+	2+ 3+ -2  0 -2 -6  6 19+
Curve Equation t Generators 113088b1 [0,-1,0,-3266869,2355305845] 2 [30135:267580:27] 113088b2 [0,-1,0,-52788849,147642890769] 2 [4677:55080:1]
113088c (1 curve)	0	2+ 3+ 19+ 31-	2+ 3+  3 -3 -1 -4 -3 19+
Curve Equation t 113088c1 [0,-1,0,-61199,-369585663] 1
113088d (2 curves)	0	2+ 3+ 19- 31+	2+ 3+ -2  0 -2  2  0 19-
Curve Equation t 113088d1 [0,-1,0,-283469,-57996291] 2 113088d2 [0,-1,0,-282929,-58228815] 2
113088e (1 curve)	1	2+ 3+ 19- 31-	2+ 3+ -1  3  1 -4 -3 19-
Curve Equation t Generators 113088e1 [0,-1,0,49,69] 1 [20:93:1]
113088f (2 curves)	1	2+ 3+ 19- 31-	2+ 3+ -2  4 -4 -4 -6 19-
Curve Equation t Generators 113088f1 [0,-1,0,-149,693] 2 [13:28:1] 113088f2 [0,-1,0,-529,-3791] 2 [-11:24:1]
113088g (1 curve)	2	2+ 3- 19+ 31+	2+ 3- -1 -3 -1 -4 -3 19+
Curve Equation t Generators 113088g1 [0,1,0,49,-69] 1 [10:39:1]&[42:279:1]
113088h (2 curves)	0	2+ 3- 19+ 31+	2+ 3-  2  4  4 -2  0 19+
Curve Equation t 113088h1 [0,1,0,-14597,725163] 2 113088h2 [0,1,0,-238417,44728175] 2
113088i (2 curves)	0	2+ 3- 19+ 31+	2+ 3- -2  4  6 -4 -2 19+
Curve Equation t 113088i1 [0,1,0,271,-849] 2 113088i2 [0,1,0,-1249,-8449] 2
113088j (2 curves)	1	2+ 3- 19+ 31-	2+ 3- -2  0  6 -6  0 19+
Curve Equation t Generators 113088j1 [0,1,0,2131,19827] 2 [22:279:1] 113088j2 [0,1,0,-9649,158831] 2 [-91:540:1]
113088k (1 curve)	1	2+ 3- 19- 31+	2+ 3-  1 -3  1 -2  3 19-
Curve Equation t Generators 113088k1 [0,1,0,-348405,588218067] 1 [150564:7239213:64]
113088l (1 curve)	1	2+ 3- 19- 31+	2+ 3-  3  3  1 -4 -3 19-
Curve Equation t Generators 113088l1 [0,1,0,-61199,369585663] 1 [-3382:143127:8]
113088m (1 curve)	0	2+ 3- 19- 31-	2+ 3-  1  5 -3  6  7 19-
Curve Equation t 113088m1 [0,1,0,-4405,-182893] 1
113088n (4 curves)	0	2+ 3- 19- 31-	2+ 3-  2  0 -4 -2 -2 19-
Curve Equation t 113088n1 [0,1,0,-797,-8925] 2 113088n2 [0,1,0,-977,-4785] 4 113088n3 [0,1,0,3583,-33057] 2 113088n4 [0,1,0,-8417,291327] 2
113088o (4 curves)	0	2+ 3- 19- 31-	2+ 3-  2  4  0 -6 -6 19-
Curve Equation t 113088o1 [0,1,0,-2372,41250] 2 113088o2 [0,1,0,-7177,-184585] 4 113088o3 [0,1,0,16383,-1122273] 2 113088o4 [0,1,0,-107617,-13623457] 2
113088p (2 curves)	0	2+ 3- 19- 31-	2+ 3- -2  4  2 -4  6 19-
Curve Equation t 113088p1 [0,1,0,4191,4503231] 2 113088p2 [0,1,0,-384929,89720511] 2
113088q (2 curves)	2	2+ 3- 19- 31-	2+ 3- -2 -4  0  0 -2 19-
Curve Equation t Generators 113088q1 [0,1,0,-19189,-461125] 2 [-106:627:1]&[-25:60:1] 113088q2 [0,1,0,-156369,23435631] 2 [141:-2052:1]&[-201:6840:1]
113088r (2 curves)	0	2+ 3- 19- 31-	2+ 3- -2 -4  6  0 -2 19-
Curve Equation t 113088r1 [0,1,0,-584929,-172752769] 2 113088r2 [0,1,0,-9364449,-11033019009] 2
113088s (1 curve)	0	2- 3+ 19+ 31+	2- 3+  1 -5  3  6  7 19+
Curve Equation t 113088s1 [0,-1,0,-4405,182893] 1
113088t (4 curves)	0	2- 3+ 19+ 31+	2- 3+  2  0  4 -2 -2 19+
Curve Equation t 113088t1 [0,-1,0,-797,8925] 2 113088t2 [0,-1,0,-977,4785] 4 113088t3 [0,-1,0,3583,33057] 2 113088t4 [0,-1,0,-8417,-291327] 2
113088u (2 curves)	0	2- 3+ 19+ 31+	2- 3+ -2  4  0  0 -2 19+
Curve Equation t 113088u1 [0,-1,0,-19189,461125] 2 113088u2 [0,-1,0,-156369,-23435631] 2
113088v (2 curves)	0	2- 3+ 19+ 31+	2- 3+ -2  4 -6  0 -2 19+
Curve Equation t 113088v1 [0,-1,0,-584929,172752769] 2 113088v2 [0,-1,0,-9364449,11033019009] 2
113088w (2 curves)	0	2- 3+ 19+ 31+	2- 3+ -2 -4 -2 -4  6 19+
Curve Equation t 113088w1 [0,-1,0,4191,-4503231] 2 113088w2 [0,-1,0,-384929,-89720511] 2
113088x (1 curve)	1	2- 3+ 19+ 31-	2- 3+  1  3 -1 -2  3 19+
Curve Equation t Generators 113088x1 [0,-1,0,-348405,-588218067] 1 [10828524:474963183:4913]
113088y (2 curves)	1	2- 3+ 19- 31+	2- 3+ -2  0 -6 -6  0 19-
Curve Equation t Generators 113088y1 [0,-1,0,2131,-19827] 2 [28:247:1] 113088y2 [0,-1,0,-9649,-158831] 2 [152:1365:1]
113088z (1 curve)	1	2- 3+ 19- 31+	2- 3+  3 -1 -3  4 -7 19-
Curve Equation t Generators 113088z1 [0,-1,0,-4379,113721] 1 [40:31:1]
113088ba (2 curves)	0	2- 3+ 19- 31-	2- 3+  2 -4 -4 -2  0 19-
Curve Equation t 113088ba1 [0,-1,0,-14597,-725163] 2 113088ba2 [0,-1,0,-238417,-44728175] 2
113088bb (2 curves)	2	2- 3+ 19- 31-	2- 3+ -2 -4 -6 -4 -2 19-
Curve Equation t Generators 113088bb1 [0,-1,0,271,849] 2 [-1:24:1]&[5:48:1] 113088bb2 [0,-1,0,-1249,8449] 2 [-24:155:1]&[-11:144:1]
113088bc (2 curves)	1	2- 3- 19+ 31+	2- 3- -2 -4  4 -4 -6 19+
Curve Equation t Generators 113088bc1 [0,1,0,-149,-693] 2 [-54:57:8] 113088bc2 [0,1,0,-529,3791] 2 [-14:93:1]
113088bd (2 curves)	0	2- 3- 19+ 31-	2- 3- -2  0  2  2  0 19+
Curve Equation t 113088bd1 [0,1,0,-283469,57996291] 2 113088bd2 [0,1,0,-282929,58228815] 2
113088be (1 curve)	0	2- 3- 19+ 31-	2- 3-  3  1  3  4 -7 19+
Curve Equation t 113088be1 [0,1,0,-4379,-113721] 1
113088bf (2 curves)	1	2- 3- 19- 31-	2- 3- -2  0  2 -6  6 19-
Curve Equation t Generators 113088bf1 [0,1,0,-3266869,-2355305845] 2 [147076:3055143:64] 113088bf2 [0,1,0,-52788849,-147642890769] 2 [9201:381672:1]

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