Cremona's table of elliptic curves

34102 = 2 · 17² · 59

Class	r	Atkin-Lehner	Eigenvalues
34102a (2 curves)	1	2+ 17+ 59+	2+  0  0 -2 -4 -2 17+ -4
Curve Equation t Generators 34102a1 [1,-1,0,-356102,-81702752] 2 [97338:30319162:1] 34102a2 [1,-1,0,-353212,-83096310] 2 [1799457051:8035576509:2571353]
34102b (1 curve)	1	2+ 17+ 59+	2+  1  1  5  2 -4 17+ -7
Curve Equation t Generators 34102b1 [1,0,1,-25583,1574014] 1 [109:234:1]
34102c (1 curve)	1	2+ 17+ 59+	2+  1 -1  1  2  2 17+  7
Curve Equation t Generators 34102c1 [1,0,1,289716,-261842550] 1 [6348:504165:1]
34102d (1 curve)	1	2+ 17+ 59+	2+  1 -2 -4  2 -7 17+  8
Curve Equation t Generators 34102d1 [1,0,1,-16846866157,-841642245371480] 1 [53438030286935064394928217143672004959168135594112645341391910672:-12821431281500904354074729645638136992247930924293197709424263122008:299720244459442111698864583416408306344781570525970958251643]
34102e (1 curve)	1	2+ 17+ 59+	2+  1  3  1  2 -2 17+  3
Curve Equation t Generators 34102e1 [1,0,1,138,3588] 1 [24:132:1]
34102f (2 curves)	1	2+ 17+ 59+	2+ -1  3  1  0 -4 17+ -1
Curve Equation t Generators 34102f1 [1,1,0,8809,-35675963] 1 [626098:11045807:1331] 34102f2 [1,1,0,-7925686,-8592318892] 1 [279888532:-128476622794:1331]
34102g (1 curve)	1	2+ 17+ 59+	2+ -3 -2 -4  2  1 17+  0
Curve Equation t Generators 34102g1 [1,-1,0,-9013,342325] 1 [47:-168:1]
34102h (2 curves)	0	2+ 17+ 59-	2+  2 -4  2  2 -2 17+  4
Curve Equation t 34102h1 [1,1,0,-7064177,-6019053355] 2 34102h2 [1,1,0,-107682417,-430124934955] 2
34102i (1 curve)	0	2+ 17+ 59-	2+ -2 -2  3 -1  3 17+ -8
Curve Equation t 34102i1 [1,0,1,16033,-1055886] 1
34102j (2 curves)	0	2+ 17+ 59-	2+ -2  4 -2 -2 -2 17+  4
Curve Equation t 34102j1 [1,0,1,-24444,-1226566] 2 34102j2 [1,0,1,-372604,-87570246] 2
34102k (2 curves)	0	2- 17+ 59+	2-  0  0 -2  6 -2 17+ -4
Curve Equation t 34102k1 [1,-1,1,-11470,461465] 2 34102k2 [1,-1,1,-181980,29925593] 2
34102l (1 curve)	0	2- 17+ 59+	2-  1 -1  1  2  2 17+  7
Curve Equation t 34102l1 [1,0,0,-4669651891,-122822024987423] 1
34102m (2 curves)	2	2- 17+ 59+	2-  1 -1 -3 -2 -6 17+ -5
Curve Equation t Generators 34102m1 [1,0,0,-7231,243097] 1 [-78:617:1]&[24:277:1] 34102m2 [1,0,0,33229,-12420883] 1 [194:1059:1]&[2878:52893:8]
34102n (1 curve)	0	2- 17+ 59+	2-  1  3 -1 -4 -2 17+  1
Curve Equation t 34102n1 [1,0,0,-3474,-146764] 1
34102o (2 curves)	0	2- 17+ 59+	2- -2  2 -2 -4  2 17+  4
Curve Equation t 34102o1 [1,0,0,-8912477,10184961457] 2 34102o2 [1,0,0,-14368797,-3764666255] 2
34102p (1 curve)	0	2- 17+ 59+	2- -2  2  3  1 -3 17+  4
Curve Equation t 34102p1 [1,0,0,-1162,-15558] 1
34102q (1 curve)	0	2- 17+ 59+	2-  3  3  1  0  4 17+ -1
Curve Equation t 34102q1 [1,-1,1,53844,-6283217] 1
34102r (1 curve)	1	2- 17+ 59-	2-  1 -2  4  4  1 17+ -2
Curve Equation t Generators 34102r1 [1,0,0,11,-71] 1 [24:107:1]
34102s (1 curve)	1	2- 17+ 59-	2- -1  2 -4 -4  1 17+ -2
Curve Equation t Generators 34102s1 [1,1,1,3173,-351999] 1 [4212:22427:64]

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

Part of Computational Number Theory
Back to Tables and computations