Cremona's table of elliptic curves

73515 = 3 · 5 · 13² · 29

Class	r	Atkin-Lehner	Eigenvalues
73515a (2 curves)	1	3+ 5+ 13+ 29+	1 3+ 5+  4  4 13+  0  8
Curve Equation t Generators 73515a1 [1,1,0,-49858,4248223] 2 [638:6779:8] 73515a2 [1,1,0,-25353,8458182] 2 [1566:25803:8]
73515b (1 curve)	1	3+ 5+ 13+ 29+	-2 3+ 5+  4  1 13+  6  2
Curve Equation t Generators 73515b1 [0,-1,1,-933010186,-10969363988958] 1 [22880222103324132247795007944901884196647208445585180872141858466282212019:12135477825884100135803064815606742904822460545396419702667388386491456592349:80358057865786181914794364302026971577670351039745226097501754893313]
73515c (2 curves)	0	3+ 5- 13+ 29+	1 3+ 5- -2 -2 13+  6  2
Curve Equation t 73515c1 [1,1,0,-1787347,-743210216] 2 73515c2 [1,1,0,3756698,-4432217759] 2
73515d (2 curves)	0	3+ 5- 13+ 29+	-1 3+ 5- -2  6 13+  2 -6
Curve Equation t 73515d1 [1,1,1,-81715,-8924440] 2 73515d2 [1,1,1,-13270,-23325268] 2
73515e (1 curve)	1	3+ 5- 13+ 29-	0 3+ 5-  2 -1 13+  4  2
Curve Equation t Generators 73515e1 [0,-1,1,13295,-2413422] 1 [204:2957:1]
73515f (1 curve)	1	3- 5+ 13+ 29-	0 3- 5+ -1  5 13+ -3  0
Curve Equation t Generators 73515f1 [0,1,1,-3416391,-2431757545] 1 [86997:3820519:27]
73515g (1 curve)	1	3- 5+ 13+ 29-	0 3- 5+  2 -1 13+  0  6
Curve Equation t Generators 73515g1 [0,1,1,-9689671,11630711161] 1 [1655:11407:1]
73515h (4 curves)	1	3- 5+ 13+ 29-	1 3- 5+  4  0 13+  2 -8
Curve Equation t Generators 73515h1 [1,0,1,-5074,-93793] 2 [-21:70:1] 73515h2 [1,0,1,-73519,-7677499] 4 [-157890:100579:1000] 73515h3 [1,0,1,-65914,-9326263] 2 [1249:42470:1] 73515h4 [1,0,1,-1176244,-491112139] 2 [-6399195939570:3193272573343:10218313000]
73515i (4 curves)	1	3- 5+ 13+ 29-	-1 3- 5+  0  0 13+ -2  0
Curve Equation t Generators 73515i1 [1,0,0,-1572416986,23999231350691] 2 [30498325:-22172201:1331] 73515i2 [1,0,0,-1572417831,23999204266920] 4 [24441:397689:1] 73515i3 [1,0,0,-1554567206,24570699166545] 2 [1831:4660675:1] 73515i4 [1,0,0,-1590281976,23425976009331] 2 [4941:3958467:1]
73515j (4 curves)	1	3- 5+ 13+ 29-	-1 3- 5+ -4  4 13+  6  4
Curve Equation t Generators 73515j1 [1,0,0,-4651,121640] 2 [49:85:1] 73515j2 [1,0,0,-5496,74151] 4 [-15:399:1] 73515j3 [1,0,0,19009,559350] 2 [1:760:1] 73515j4 [1,0,0,-43521,-3446964] 2 [248:890:1]
73515k (1 curve)	1	3- 5+ 13+ 29-	2 3- 5+  0  3 13+ -2  6
Curve Equation t Generators 73515k1 [0,1,1,-56,-429919] 1 [10704638:145374587:54872]
73515l (2 curves)	1	3- 5+ 13- 29+	1 3- 5+  2  0 13-  6 -2
Curve Equation t Generators 73515l1 [1,0,1,-11327229,-15180927773] 2 [259670966190295911948964352809577604136923672908167305337439788776145088818024917:34149381769402309669508373684586251119799975868537804175066885829003914923675965733:14347526984746267320060736226155615294689574672904389810188071060998396168617] 73515l2 [1,0,1,-182967854,-952613365273] 2 [206449183698204135190536667375630644854343:54397207479512412738414036140774029019570882:2851539703244464174239427893491304393]
73515m (1 curve)	1	3- 5+ 13- 29+	-2 3- 5+  1 -3 13- -1  6
Curve Equation t Generators 73515m1 [0,1,1,-5126,572420] 1 [225:3295:1]
73515n (2 curves)	1	3- 5- 13+ 29+	0 3- 5- -2 -3 13+  0 -2
Curve Equation t Generators 73515n1 [0,1,1,-1915,32296] 1 [-22:253:1] 73515n2 [0,1,1,8225,143329] 1 [43:760:1]
73515o (1 curve)	2	3- 5- 13+ 29-	0 3- 5- -3 -5 13+ -7  0
Curve Equation t Generators 73515o1 [0,1,1,-223305,44086709] 1 [1161:-36758:1]&[291:1957:1]
73515p (2 curves)	0	3- 5- 13- 29+	-1 3- 5- -2  0 13-  6  2
Curve Equation t 73515p1 [1,0,0,-67025,-6915000] 2 73515p2 [1,0,0,-1082650,-433680625] 2
73515q (1 curve)	0	3- 5- 13- 29+	2 3- 5- -1  3 13- -1 -6
Curve Equation t 73515q1 [0,1,1,-30,251] 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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