Cremona's table of elliptic curves

12400 = 2⁴ · 5² · 31

Class	r	Atkin-Lehner	Eigenvalues
12400a (2 curves)	1	2+ 5+ 31+	2+  0 5+  0 -2 -2  0  8
Curve Equation t Generators 12400a1 [0,0,0,-8075,-309750] 2 [141:1164:1] 12400a2 [0,0,0,-133075,-18684750] 2 [-211:12:1]
12400b (4 curves)	1	2+ 5+ 31+	2+  0 5+  0  4 -2 -6 -4
Curve Equation t Generators 12400b1 [0,0,0,-9050,207375] 2 [19115:2642750:1] 12400b2 [0,0,0,-129175,17865750] 4 [152930:21140625:8] 12400b3 [0,0,0,-2066675,1143553250] 4 [19136090:2639893773:1000] 12400b4 [0,0,0,-113675,22314250] 2 [195:2750:1]
12400c (1 curve)	1	2+ 5+ 31+	2+  0 5+ -3 -2  4  0 -1
Curve Equation t Generators 12400c1 [0,0,0,25,125] 1 [4:17:1]
12400d (1 curve)	1	2+ 5+ 31+	2+ -1 5+  0  0  2 -3 -1
Curve Equation t Generators 12400d1 [0,-1,0,-180033,29699437] 1 [52:4525:1]
12400e (2 curves)	1	2+ 5+ 31+	2+  2 5+  0  0 -4  0 -4
Curve Equation t Generators 12400e1 [0,-1,0,92,-2688] 2 [2346:40125:8] 12400e2 [0,-1,0,-2408,-42688] 2 [-32:24:1]
12400f (1 curve)	0	2+ 5+ 31-	2+  0 5+ -1  5  5 -2  2
Curve Equation t 12400f1 [0,0,0,-1915,-32310] 1
12400g (1 curve)	0	2+ 5+ 31-	2+ -1 5+  2  2  2  5 -1
Curve Equation t 12400g1 [0,-1,0,-633,-8363] 1
12400h (2 curves)	0	2+ 5+ 31-	2+  2 5+ -4 -4 -4 -4 -4
Curve Equation t 12400h1 [0,-1,0,-783,1562] 2 12400h2 [0,-1,0,3092,9312] 2
12400i (2 curves)	2	2+ 5+ 31-	2+ -2 5+  0 -2 -4 -6 -4
Curve Equation t Generators 12400i1 [0,1,0,192,388] 2 [2:28:1]&[8:50:1] 12400i2 [0,1,0,-808,2388] 2 [-28:62:1]&[-22:100:1]
12400j (1 curve)	0	2+ 5+ 31-	2+ -2 5+ -3  2  2  6 -1
Curve Equation t 12400j1 [0,1,0,-8,-137] 1
12400k (1 curve)	0	2+ 5+ 31-	2+  3 5+  2  2  2  1 -1
Curve Equation t 12400k1 [0,0,0,-961300,362775500] 1
12400l (1 curve)	1	2+ 5- 31-	2+  0 5-  1  5 -5  2  2
Curve Equation t Generators 12400l1 [0,0,0,-47875,-4038750] 1 [261:1116:1]
12400m (2 curves)	0	2- 5+ 31+	2-  1 5+ -4  0 -2  3  7
Curve Equation t 12400m1 [0,1,0,-2533,-49937] 1 12400m2 [0,1,0,1467,-183937] 1
12400n (2 curves)	0	2- 5+ 31+	2- -1 5+ -2 -2  6  7  5
Curve Equation t 12400n1 [0,-1,0,3867,-77363] 1 12400n2 [0,-1,0,-336133,75262637] 1
12400o (2 curves)	0	2- 5+ 31+	2-  2 5+  4 -4  0  8 -4
Curve Equation t 12400o1 [0,-1,0,-408,11312] 2 12400o2 [0,-1,0,-10408,411312] 2
12400p (2 curves)	0	2- 5+ 31+	2- -2 5+ -1  6 -2 -6  1
Curve Equation t 12400p1 [0,1,0,-58,-237] 1 12400p2 [0,1,0,442,2263] 1
12400q (4 curves)	0	2- 5+ 31+	2- -2 5+ -4  0  4  0  4
Curve Equation t 12400q1 [0,1,0,-42408,-3444812] 2 12400q2 [0,1,0,-682408,-217204812] 2 12400q3 [0,1,0,181592,-14644812] 2 12400q4 [0,1,0,-818408,-124644812] 2
12400r (4 curves)	1	2- 5+ 31-	2-  0 5+  0  0 -2  6 -4
Curve Equation t Generators 12400r1 [0,0,0,-275,-8750] 2 [30:100:1] 12400r2 [0,0,0,-8275,-288750] 4 [350:6300:1] 12400r3 [0,0,0,-132275,-18516750] 2 [154770:1268100:343] 12400r4 [0,0,0,-12275,19250] 2 [-14:434:1]
12400s (2 curves)	1	2- 5+ 31-	2-  0 5+ -2  4  4  0  0
Curve Equation t Generators 12400s1 [0,0,0,-26300,-1641125] 2 [766545:12361250:2197] 12400s2 [0,0,0,-30175,-1125750] 2 [8203013390:-131104921875:23393656]
12400t (1 curve)	1	2- 5+ 31-	2-  0 5+  3 -6  4  0  5
Curve Equation t Generators 12400t1 [0,0,0,-425,3375] 1 [14:13:1]
12400u (1 curve)	1	2- 5+ 31-	2-  0 5+ -5 -5  7 -6  6
Curve Equation t Generators 12400u1 [0,0,0,-56875,5756250] 1 [149:768:1]
12400v (1 curve)	1	2- 5+ 31-	2- -1 5+  0  1  0  1  7
Curve Equation t Generators 12400v1 [0,-1,0,-488,-11408] 1 [36:128:1]
12400w (1 curve)	1	2- 5+ 31-	2- -1 5+  0  4  6 -5  1
Curve Equation t Generators 12400w1 [0,-1,0,-533,-6563] 1 [332:6025:1]
12400x (2 curves)	1	2- 5+ 31-	2-  2 5+  0 -2  0 -2  4
Curve Equation t Generators 12400x1 [0,-1,0,-26408,1715312] 2 [746:1875:8] 12400x2 [0,-1,0,-426408,107315312] 2 [-739:4278:1]
12400y (1 curve)	1	2- 5+ 31-	2- -3 5+ -2 -2 -2  3  3
Curve Equation t Generators 12400y1 [0,0,0,200,-500] 1 [10:50:1]
12400z (2 curves)	1	2- 5- 31+	2-  2 5- -4 -4  2  6 -4
Curve Equation t Generators 12400z1 [0,-1,0,-53,152] 2 [26:15:8] 12400z2 [0,-1,0,-828,9452] 2 [197:2730:1]
12400ba (2 curves)	1	2- 5- 31+	2- -2 5-  4 -4 -2 -6 -4
Curve Equation t Generators 12400ba1 [0,1,0,-1333,16338] 2 [82:682:1] 12400ba2 [0,1,0,-20708,1140088] 2 [906:4081:8]
12400bb (1 curve)	0	2- 5- 31-	2-  0 5-  5 -5 -7  6  6
Curve Equation t 12400bb1 [0,0,0,-2275,46050] 1
12400bc (1 curve)	0	2- 5- 31-	2-  1 5-  0  1  0 -1  7
Curve Equation t 12400bc1 [0,1,0,-12208,-1450412] 1

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