Cremona's table of elliptic curves

102414 = 2 · 3 · 13² · 101

Class	r	Atkin-Lehner	Eigenvalues
102414a (1 curve)	1	2+ 3+ 13+ 101+	2+ 3+  0  1 -2 13+  3 -7
Curve Equation t Generators 102414a1 [1,1,0,-5580,-162846] 1 [525:11652:1]
102414b (1 curve)	1	2+ 3+ 13+ 101+	2+ 3+  2  3  3 13+ -3  2
Curve Equation t Generators 102414b1 [1,1,0,-8284,1516000] 1 [-113:1069:1]
102414c (1 curve)	1	2+ 3+ 13+ 101+	2+ 3+ -3 -2 -2 13+ -6 -4
Curve Equation t Generators 102414c1 [1,1,0,-222069,-142487379] 1 [1019:25770:1]
102414d (1 curve)	0	2+ 3+ 13+ 101-	2+ 3+ -1  0  0 13+  0  4
Curve Equation t 102414d1 [1,1,0,1579921847,19963846325701] 1
102414e (1 curve)	2	2+ 3+ 13+ 101-	2+ 3+ -1  0  0 13+ -5 -6
Curve Equation t Generators 102414e1 [1,1,0,-3383,81021] 1 [5:251:1]&[41:95:1]
102414f (1 curve)	0	2+ 3+ 13+ 101-	2+ 3+  2  3 -3 13+  3  4
Curve Equation t 102414f1 [1,1,0,-3409,1174165] 1
102414g (1 curve)	0	2+ 3+ 13+ 101-	2+ 3+ -2  3 -3 13+  7  0
Curve Equation t 102414g1 [1,1,0,7264,353280] 1
102414h (2 curves)	2	2+ 3+ 13+ 101-	2+ 3+ -4 -2  0 13+  2 -4
Curve Equation t Generators 102414h1 [1,1,0,-1862,99780] 2 [-8:342:1]&[4:302:1] 102414h2 [1,1,0,-45802,3746800] 2 [447:-8758:1]&[-8:2032:1]
102414i (1 curve)	0	2+ 3- 13+ 101+	2+ 3-  1  0  0 13+  0  0
Curve Equation t 102414i1 [1,0,1,99537,-26601950] 1
102414j (2 curves)	0	2+ 3- 13+ 101+	2+ 3- -3  4  0 13+  3 -2
Curve Equation t 102414j1 [1,0,1,-233900,-155981590] 1 102414j2 [1,0,1,-30410540,-64550984470] 1
102414k (1 curve)	0	2+ 3- 13+ 101+	2+ 3-  4  5  2 13+  3  5
Curve Equation t 102414k1 [1,0,1,-20284,1285754] 1
102414l (2 curves)	1	2+ 3- 13+ 101-	2+ 3- -1  2 -2 13+ -2  0
Curve Equation t Generators 102414l1 [1,0,1,-15214,727040] 1 [118:701:1] 102414l2 [1,0,1,101396,-23446720] 1 [300:5680:1]
102414m (2 curves)	1	2+ 3- 13- 101+	2+ 3-  3 -2  0 13-  7 -4
Curve Equation t Generators 102414m1 [1,0,1,-1054057,-416966938] 1 [150470:883693:125] 102414m2 [1,0,1,7349468,3936494018] 1 [-42472452536441010:1772294865257108431:90307332914625]
102414n (1 curve)	0	2- 3+ 13+ 101+	2- 3+  1 -4  0 13+  4 -4
Curve Equation t 102414n1 [1,1,1,-2285,53009] 1
102414o (1 curve)	2	2- 3+ 13+ 101+	2- 3+ -2 -3 -3 13+ -3 -2
Curve Equation t Generators 102414o1 [1,1,1,-49,671] 1 [-11:10:1]&[-7:30:1]
102414p (1 curve)	1	2- 3+ 13+ 101-	2- 3+  2 -3  3 13+  7  0
Curve Equation t Generators 102414p1 [1,1,1,1227528,770018361] 1 [877:49781:1]
102414q (1 curve)	1	2- 3+ 13+ 101-	2- 3+ -2 -3  3 13+  3 -4
Curve Equation t Generators 102414q1 [1,1,1,-576209,2582521391] 1 [-993:47152:1]
102414r (4 curves)	1	2- 3- 13+ 101+	2- 3-  0 -2  0 13+ -6  4
Curve Equation t Generators 102414r1 [1,0,0,-1970628,1082139408] 2 [924:6636:1] 102414r2 [1,0,0,-31674068,68609939904] 2 [1134658:-2564402:343] 102414r3 [1,0,0,7882917,5035467345] 2 [-77778:47245321:729] 102414r4 [1,0,0,-37111643,43451822673] 2 [742:127393:1]
102414s (4 curves)	1	2- 3- 13+ 101+	2- 3- -2 -4 -4 13+ -6 -4
Curve Equation t Generators 102414s1 [1,0,0,5996,-304240] 2 [92:-1060:1] 102414s2 [1,0,0,-48084,-3343536] 4 [-156:684:1] 102414s3 [1,0,0,-230604,39548664] 2 [378:2346:1] 102414s4 [1,0,0,-730844,-240534360] 2 [-494:346:1]
102414t (1 curve)	0	2- 3- 13+ 101-	2- 3-  0  3  2 13+ -1  5
Curve Equation t 102414t1 [1,0,0,757,4185] 1
102414u (2 curves)	0	2- 3- 13- 101+	2- 3- -3  2  0 13-  7  4
Curve Equation t 102414u1 [1,0,0,-6237,-190269] 1 102414u2 [1,0,0,43488,1795104] 1

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