Cremona's table of elliptic curves

31434 = 2 · 3 · 13² · 31

Class	r	Atkin-Lehner	Eigenvalues
31434a (1 curve)	1	2+ 3+ 13+ 31+	2+ 3+ -1  0 -2 13+  3  6
Curve Equation t Generators 31434a1 [1,1,0,-4293,-110079] 1 [108:783:1]
31434b (1 curve)	1	2+ 3+ 13+ 31+	2+ 3+ -1  1  2 13+ -2  2
Curve Equation t Generators 31434b1 [1,1,0,-1144133,470568909] 1 [-191:26214:1]
31434c (1 curve)	1	2+ 3+ 13+ 31+	2+ 3+ -1  5  2 13+ -2 -2
Curve Equation t Generators 31434c1 [1,1,0,-3088247698,-66045374170316] 1 [-80764040708010824831986107396919733309484090583427846626105226209024368241703881561371532521395707492606673072118434821125:-2963880161485183124164282657712614342878035727916686031870571200165372619273655281469889875506107235885413832341555656269:2545535228008183941372038342181504691373418989538592134561891412152271198466711199220879234877082650369748511165989377]
31434d (1 curve)	1	2+ 3+ 13+ 31+	2+ 3+ -4 -3  4 13+ -3 -6
Curve Equation t Generators 31434d1 [1,1,0,-1862,33870] 1 [31:69:1]
31434e (1 curve)	0	2+ 3+ 13- 31+	2+ 3+  0  3 -6 13- -1 -6
Curve Equation t 31434e1 [1,1,0,-21245,45925053] 1
31434f (2 curves)	0	2+ 3+ 13- 31+	2+ 3+ -2 -4  2 13-  2 -2
Curve Equation t 31434f1 [1,1,0,-32451,1922445] 2 31434f2 [1,1,0,55429,10622565] 2
31434g (2 curves)	0	2+ 3- 13+ 31+	2+ 3- -1  2  3 13+  3  5
Curve Equation t 31434g1 [1,0,1,2531,17240] 1 31434g2 [1,0,1,-235759,-44101900] 1
31434h (1 curve)	0	2+ 3- 13+ 31+	2+ 3-  3  1 -2 13+  2  6
Curve Equation t 31434h1 [1,0,1,-342,-1688] 1
31434i (1 curve)	0	2+ 3- 13+ 31+	2+ 3-  3  4  2 13+ -5  2
Curve Equation t 31434i1 [1,0,1,-10039787,21132439382] 1
31434j (1 curve)	1	2+ 3- 13+ 31-	2+ 3-  3 -3 -2 13+ -6  4
Curve Equation t Generators 31434j1 [1,0,1,-17,2] 1 [0:1:1]
31434k (1 curve)	1	2+ 3- 13+ 31-	2+ 3-  3 -4  2 13+ -1 -6
Curve Equation t Generators 31434k1 [1,0,1,113,2] 1 [10:-52:1]
31434l (1 curve)	0	2+ 3- 13- 31-	2+ 3-  4  1  6 13-  5 -6
Curve Equation t 31434l1 [1,0,1,386,-2416] 1
31434m (1 curve)	0	2- 3+ 13+ 31+	2- 3+  1 -2 -3 13+  1 -7
Curve Equation t 31434m1 [1,1,1,-14115,-740277] 1
31434n (1 curve)	1	2- 3+ 13+ 31-	2- 3+  1  0  2 13+  3 -6
Curve Equation t Generators 31434n1 [1,1,1,-725605,-238215697] 1 [15111:1847050:1]
31434o (1 curve)	1	2- 3+ 13+ 31-	2- 3+  1 -1 -2 13+ -2 -2
Curve Equation t Generators 31434o1 [1,1,1,-6770,211583] 1 [47:-23:1]
31434p (1 curve)	1	2- 3+ 13+ 31-	2- 3+  1 -5 -2 13+ -2  2
Curve Equation t Generators 31434p1 [1,1,1,-18273655,-30068646067] 1 [-2453:3210:1]
31434q (1 curve)	0	2- 3+ 13- 31-	2- 3+  0 -3  6 13- -1  6
Curve Equation t 31434q1 [1,1,1,-3590493,100915293747] 1
31434r (2 curves)	0	2- 3+ 13- 31-	2- 3+  2  4 -2 13-  2  2
Curve Equation t 31434r1 [1,1,1,-192,801] 2 31434r2 [1,1,1,328,4961] 2
31434s (3 curves)	1	2- 3- 13+ 31+	2- 3-  0  1  0 13+  3 -2
Curve Equation t Generators 31434s1 [1,0,0,-1037748,406815408] 1 [222:13578:1] 31434s2 [1,0,0,-513003,816659505] 1 [534:-26631:1] 31434s3 [1,0,0,4595022,-21468427644] 1 [11012:1162622:1]
31434t (1 curve)	1	2- 3- 13+ 31+	2- 3- -3  3  2 13+ -6 -4
Curve Equation t Generators 31434t1 [1,0,0,-2792,7734] 1 [-226:2141:8]
31434u (1 curve)	1	2- 3- 13+ 31+	2- 3- -3  4 -2 13+ -1  6
Curve Equation t Generators 31434u1 [1,0,0,19178,-14236] 1 [14:500:1]
31434v (1 curve)	0	2- 3- 13+ 31-	2- 3-  0  3  4 13+  3 -2
Curve Equation t 31434v1 [1,0,0,-88,-166336] 1
31434w (1 curve)	0	2- 3- 13+ 31-	2- 3- -3 -1  2 13+  2 -6
Curve Equation t 31434w1 [1,0,0,-57717,-3650271] 1
31434x (1 curve)	0	2- 3- 13+ 31-	2- 3- -3  2 -5 13+ -1 -7
Curve Equation t 31434x1 [1,0,0,-2792,-58176] 1
31434y (1 curve)	2	2- 3- 13+ 31-	2- 3- -3 -4 -2 13+ -5 -2
Curve Equation t Generators 31434y1 [1,0,0,-59407,9614201] 1 [-64:-3595:1]&[-250:3101:1]
31434z (1 curve)	0	2- 3- 13- 31+	2- 3- -4 -1 -6 13-  5  6
Curve Equation t 31434z1 [1,0,0,65315,-5372719] 1

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

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