Cremona's table of elliptic curves

34307 = 7 · 13² · 29

Class	r	Atkin-Lehner	Eigenvalues
34307a (2 curves)	1	7+ 13+ 29+	0 -2 -3 7+  0 13+ -6  4
Curve Equation t Generators 34307a1 [0,1,1,-209447,-16575165] 1 [-101:1886:1] 34307a2 [0,1,1,-14204337,-20610055800] 1 [-10692490:469130:4913]
34307b (2 curves)	1	7+ 13+ 29+	-1  2 -2 7+  4 13+  4 -2
Curve Equation t Generators 34307b1 [1,1,1,-1609,25462] 2 [214:2981:1] 34307b2 [1,1,1,-26114,1613386] 2 [-112:1830:1]
34307c (2 curves)	1	7+ 13+ 29+	2 -1  4 7+ -2 13+ -2 -5
Curve Equation t Generators 34307c1 [0,-1,1,3324,-3651] 1 [84726480:1150387429:512000] 34307c2 [0,-1,1,-363406,-84209591] 1 [19269388400523869041933124305143946320:-922991834011751457037251446320498204739:7842091490048336108329656119808000]
34307d (1 curve)	1	7+ 13+ 29+	2 -2  1 7+  2 13+  6  6
Curve Equation t Generators 34307d1 [0,1,1,-28110,-196023] 1 [-5356768:7822979:32768]
34307e (2 curves)	2	7+ 13+ 29-	0 -2 -3 7+ -6 13+  0 -2
Curve Equation t Generators 34307e1 [0,1,1,-147,30] 1 [-12:14:1]&[-10:24:1] 34307e2 [0,1,1,-7687,-261985] 1 [-51:1:1]&[111:514:1]
34307f (1 curve)	0	7+ 13+ 29-	1 -1 -1 7+  5 13+ -4  4
Curve Equation t 34307f1 [1,1,0,-3,-3986] 1
34307g (1 curve)	0	7+ 13+ 29-	-2  3  0 7+  0 13+  2 -3
Curve Equation t 34307g1 [0,0,1,-9295,345478] 1
34307h (2 curves)	0	7- 13+ 29+	0 -2  3 7-  0 13+ -6 -4
Curve Equation t 34307h1 [0,1,1,-1239,-7926] 3 34307h2 [0,1,1,-84049,-9406861] 1
34307i (1 curve)	0	7- 13+ 29+	-2 -2 -1 7- -2 13+  6 -6
Curve Equation t 34307i1 [0,1,1,-4750646,-411659478] 1
34307j (2 curves)	1	7- 13+ 29-	0 -2  3 7-  6 13+  0  2
Curve Equation t Generators 34307j1 [0,1,1,-24899,165975] 3 [-155:570:1] 34307j2 [0,1,1,-1299159,-570383940] 1 [-660:24:1]

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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