Cremona's table of elliptic curves

31740 = 2² · 3 · 5 · 23²

Class	r	Atkin-Lehner	Eigenvalues
31740a (1 curve)	1	2- 3+ 5+ 23-	2- 3+ 5+  3 -6 -3  2  0
Curve Equation t Generators 31740a1 [0,-1,0,-129781,85902625] 1 [8288:753825:1]
31740b (2 curves)	0	2- 3+ 5- 23-	2- 3+ 5-  0  0 -6 -2 -6
Curve Equation t 31740b1 [0,-1,0,-11285,454842] 2 31740b2 [0,-1,0,1940,1444072] 2
31740c (1 curve)	0	2- 3+ 5- 23-	2- 3+ 5- -3  6 -3 -2  0
Curve Equation t 31740c1 [0,-1,0,-245,-6975] 1
31740d (1 curve)	0	2- 3+ 5- 23-	2- 3+ 5-  5  0  4  3  4
Curve Equation t 31740d1 [0,-1,0,405710555,-1373806658975] 1
31740e (2 curves)	0	2- 3- 5+ 23-	2- 3- 5+  2 -3 -4  0 -7
Curve Equation t 31740e1 [0,1,0,-616461,174373839] 3 31740e2 [0,1,0,-9376701,-11017708785] 1
31740f (2 curves)	0	2- 3- 5+ 23-	2- 3- 5+ -2 -4  2  6  4
Curve Equation t 31740f1 [0,1,0,-61,-40] 2 31740f2 [0,1,0,-636,5940] 2
31740g (1 curve)	0	2- 3- 5+ 23-	2- 3- 5+  3  2 -2  7  6
Curve Equation t 31740g1 [0,1,0,-447181,-161443825] 1
31740h (4 curves)	0	2- 3- 5+ 23-	2- 3- 5+  4  0  2 -6 -2
Curve Equation t 31740h1 [0,1,0,-87461,6746964] 2 31740h2 [0,1,0,243164,45892964] 2 31740h3 [0,1,0,-6435461,6281586264] 2 31740h4 [0,1,0,-6422236,6308702804] 2
31740i (2 curves)	1	2- 3- 5- 23-	2- 3- 5-  1  0 -4  3  4
Curve Equation t Generators 31740i1 [0,1,0,31035,1720935] 1 [153:3174:1] 31740i2 [0,1,0,-730725,242665623] 1 [498:1587:1]
31740j (2 curves)	1	2- 3- 5- 23-	2- 3- 5-  2  4  2 -6 -4
Curve Equation t Generators 31740j1 [0,1,0,-32445,227568] 2 [-68760322384:33270228541320:65013301261] 31740j2 [0,1,0,-336620,-74964492] 2 [-306969386000439611273482344:428702039004852284959068661:890679423560959820662272]
31740k (2 curves)	1	2- 3- 5- 23-	2- 3- 5- -2  3 -4  0  7
Curve Equation t Generators 31740k1 [0,1,0,-1165,-14737] 1 [-19:-30:1] 31740k2 [0,1,0,-17725,899375] 1 [50:-375:1]

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