Cremona's table of elliptic curves

125913 = 3 · 19 · 47²

Class	r	Atkin-Lehner	Eigenvalues
125913a (1 curve)	0	3+ 19+ 47-	2 3+  3  1 -3  0  0 19+
Curve Equation t 125913a1 [0,-1,1,-2390874,732280943] 1
125913b (1 curve)	1	3+ 19- 47-	-2 3+  1  1 -1  0  0 19-
Curve Equation t Generators 125913b1 [0,-1,1,-2775240,-1778550190] 1 [-7670:687:8]
125913c (1 curve)	1	3+ 19- 47-	-2 3+  3  1  5  4 -4 19-
Curve Equation t Generators 125913c1 [0,-1,1,-292324,-29821848] 1 [13740:1609256:1]
125913d (1 curve)	1	3+ 19- 47-	-2 3+  3 -5 -1 -2 -1 19-
Curve Equation t Generators 125913d1 [0,-1,1,-5154,-154978] 1 [135:1261:1]
125913e (1 curve)	3	3- 19+ 47-	-2 3- -3 -3 -1 -6 -6 19+
Curve Equation t Generators 125913e1 [0,1,1,-1582,23260] 1 [-16:211:1]&[11:85:1]&[-31:208:1]
125913f (1 curve)	2	3- 19- 47-	0 3- -1 -3 -3  2 -2 19-
Curve Equation t Generators 125913f1 [0,1,1,-78051,-7707958] 1 [-3534:-14372:27]&[-1350:6623:8]
125913g (4 curves)	0	3- 19- 47-	1 3-  2  0  0 -6 -6 19-
Curve Equation t 125913g1 [1,0,1,-3360,64489] 2 125913g2 [1,0,1,-14405,-602629] 4 125913g3 [1,0,1,18730,-2961841] 2 125913g4 [1,0,1,-224260,-40894789] 2
125913h (2 curves)	0	3- 19- 47-	-2 3- -1  3  3  6  3 19-
Curve Equation t 125913h1 [0,1,1,43444,3995324] 1 125913h2 [0,1,1,-9698246,11621656484] 1
125913i (1 curve)	0	3- 19- 47-	-2 3-  3 -3  1  6 -6 19-
Curve Equation t 125913i1 [0,1,1,-3495374,-2470871080] 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
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