Cremona's table of elliptic curves

10374 = 2 · 3 · 7 · 13 · 19

Class	r	Atkin-Lehner	Eigenvalues
10374a (2 curves)	1	2+ 3+ 7+ 13+ 19+	2+ 3+ -2 7+  2 13+  0 19+
Curve Equation t Generators 10374a1 [1,1,0,-1731,26829] 2 [-10:213:1] 10374a2 [1,1,0,-611,62445] 2 [-3:255:1]
10374b (2 curves)	0	2+ 3+ 7+ 13- 19+	2+ 3+  2 7+  2 13-  8 19+
Curve Equation t 10374b1 [1,1,0,-72219,7439817] 2 10374b2 [1,1,0,-68789,8182755] 2
10374c (2 curves)	0	2+ 3+ 7- 13- 19-	2+ 3+  4 7-  0 13-  2 19-
Curve Equation t 10374c1 [1,1,0,-38,0] 2 10374c2 [1,1,0,152,190] 2
10374d (4 curves)	0	2+ 3- 7+ 13+ 19+	2+ 3- -2 7+  0 13+  2 19+
Curve Equation t 10374d1 [1,0,1,-1053627,-416360570] 2 10374d2 [1,0,1,-1058747,-412110970] 4 10374d3 [1,0,1,-2238107,672428486] 2 10374d4 [1,0,1,38693,-1224655546] 2
10374e (2 curves)	0	2+ 3- 7+ 13- 19-	2+ 3-  4 7+  4 13-  2 19-
Curve Equation t 10374e1 [1,0,1,-759,4954] 2 10374e2 [1,0,1,2281,35354] 2
10374f (2 curves)	1	2+ 3- 7- 13+ 19+	2+ 3- -2 7-  2 13+ -8 19+
Curve Equation t Generators 10374f1 [1,0,1,-5832,169750] 2 [14:294:1] 10374f2 [1,0,1,-1992,390934] 2 [217:3083:1]
10374g (2 curves)	1	2+ 3- 7- 13- 19-	2+ 3- -3 7- -3 13-  0 19-
Curve Equation t Generators 10374g1 [1,0,1,-43095,3526090] 3 [1619:63828:1] 10374g2 [1,0,1,195450,13711192] 1 [245:8613:1]
10374h (1 curve)	1	2- 3+ 7+ 13- 19+	2- 3+  3 7+ -5 13-  0 19+
Curve Equation t Generators 10374h1 [1,1,1,351,-417] 1 [13:74:1]
10374i (2 curves)	0	2- 3+ 7+ 13- 19-	2- 3+  2 7+  6 13-  0 19-
Curve Equation t 10374i1 [1,1,1,-32,-79] 2 10374i2 [1,1,1,28,-271] 2
10374j (4 curves)	0	2- 3+ 7- 13+ 19-	2- 3+  2 7-  4 13+  6 19-
Curve Equation t 10374j1 [1,1,1,-1777,-29569] 2 10374j2 [1,1,1,-1957,-23449] 4 10374j3 [1,1,1,-12247,499283] 2 10374j4 [1,1,1,5453,-150901] 2
10374k (4 curves)	0	2- 3- 7+ 13- 19+	2- 3- -2 7+  0 13-  6 19+
Curve Equation t 10374k1 [1,0,0,-3924,-92016] 4 10374k2 [1,0,0,-62244,-5982336] 4 10374k3 [1,0,0,-995904,-382620780] 2 10374k4 [1,0,0,-61704,-6091092] 2
10374l (6 curves)	0	2- 3- 7- 13- 19-	2- 3-  0 7-  0 13-  6 19-
Curve Equation t 10374l1 [1,0,0,-34073,2335545] 6 10374l2 [1,0,0,14567,8473913] 6 10374l3 [1,0,0,-405593,-98740359] 6 10374l4 [1,0,0,-131233,-230049055] 6 10374l5 [1,0,0,-32787293,-72264146451] 2 10374l6 [1,0,0,-32787103,-72265025809] 2

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

Part of Computational Number Theory
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