Cremona's table of elliptic curves

69615 = 3² · 5 · 7 · 13 · 17

Class	r	Atkin-Lehner	Eigenvalues
69615a (2 curves)	1	3+ 5+ 7+ 13+ 17+	1 3+ 5+ 7+ -4 13+ 17+  4
Curve Equation t Generators 69615a1 [1,-1,0,-32145,-2210104] 2 [572:12610:1] 69615a2 [1,-1,0,-34440,-1874575] 2 [256:2329:1]
69615b (1 curve)	1	3+ 5+ 7- 13+ 17-	0 3+ 5+ 7-  6 13+ 17- -8
Curve Equation t Generators 69615b1 [0,0,1,7452,-119347] 1 [69:850:1]
69615c (2 curves)	1	3+ 5- 7+ 13+ 17-	-1 3+ 5- 7+  4 13+ 17-  4
Curve Equation t Generators 69615c1 [1,-1,1,-3572,83046] 2 [36:-6:1] 69615c2 [1,-1,1,-3827,70704] 2 [62:231:1]
69615d (1 curve)	1	3+ 5- 7- 13+ 17+	0 3+ 5- 7- -6 13+ 17+ -8
Curve Equation t Generators 69615d1 [0,0,1,828,4420] 1 [-2:52:1]
69615e (4 curves)	0	3- 5+ 7+ 13+ 17+	1 3- 5+ 7+ -4 13+ 17+  0
Curve Equation t 69615e1 [1,-1,0,-237105,-186648624] 2 69615e2 [1,-1,0,-6565230,-6455289249] 4 69615e3 [1,-1,0,-9417105,-296950374] 2 69615e4 [1,-1,0,-104963355,-413882565624] 2
69615f (2 curves)	2	3- 5+ 7+ 13+ 17+	-1 3- 5+ 7+ -2 13+ 17+ -8
Curve Equation t Generators 69615f1 [1,-1,1,-68,1446] 2 [-12:26:1]&[-4:42:1] 69615f2 [1,-1,1,-2363,44592] 2 [32:-48:1]&[-266:2469:8]
69615g (4 curves)	0	3- 5+ 7+ 13+ 17+	-1 3- 5+ 7+  4 13+ 17+  4
Curve Equation t 69615g1 [1,-1,1,-502326113,-4333253707344] 2 69615g2 [1,-1,1,-503611358,-4309964039748] 4 69615g3 [1,-1,1,-120159653,-10714067655294] 2 69615g4 [1,-1,1,-907626983,3584662879002] 2
69615h (2 curves)	1	3- 5+ 7+ 13+ 17-	1 3- 5+ 7+  6 13+ 17-  4
Curve Equation t Generators 69615h1 [1,-1,0,-10260,-695709] 2 [656047470:-69315924911:59319] 69615h2 [1,-1,0,-196155,-33376050] 2 [-14912430:5672090:59319]
69615i (6 curves)	1	3- 5+ 7+ 13- 17+	1 3- 5+ 7+  4 13- 17+  4
Curve Equation t Generators 69615i1 [1,-1,0,-977940,-1305634869] 2 [51015722346977514186676877562950:-502157311160173335415687807216547:35881790611972481286624872567] 69615i2 [1,-1,0,-24892785,-47695651200] 4 [9702946011614423310:7127501009781596352345:17955912922856] 69615i3 [1,-1,0,-34373430,-8030528649] 4 [2856964890:281460853011:226981] 69615i4 [1,-1,0,-398049660,-3056608797075] 2 [4952439580875580339773762444418:3636027078273898589990017679536863:9162434492176438343301976] 69615i5 [1,-1,0,136670625,-64167187500] 2 [8879940194501922:-1352461531978517025:895283882072] 69615i6 [1,-1,0,-357107805,2586560205726] 2 [67258:16783496:1]
69615j (4 curves)	1	3- 5+ 7+ 13- 17+	-1 3- 5+ 7+  0 13- 17+  8
Curve Equation t Generators 69615j1 [1,-1,1,20767,-357744] 2 [1106:36522:1] 69615j2 [1,-1,1,-87278,-2864388] 4 [-52:1263:1] 69615j3 [1,-1,1,-803903,275472762] 2 [8:16398:1] 69615j4 [1,-1,1,-1099373,-442923294] 2 [-592:705:1]
69615k (2 curves)	2	3- 5+ 7+ 13- 17-	-1 3- 5+ 7+  2 13- 17- -2
Curve Equation t Generators 69615k1 [1,-1,1,-87908,10053902] 2 [-270:3883:1]&[1206:3065:8] 69615k2 [1,-1,1,-85703,10580456] 2 [156:-1073:1]&[-60:3967:1]
69615l (2 curves)	1	3- 5+ 7- 13+ 17+	1 3- 5+ 7- -2 13+ 17+ -4
Curve Equation t Generators 69615l1 [1,-1,0,2025,1487160] 2 [-2904:4916:27] 69615l2 [1,-1,0,-183870,29706021] 2 [-492:1191:1]
69615m (4 curves)	0	3- 5+ 7- 13+ 17-	1 3- 5+ 7-  4 13+ 17- -4
Curve Equation t 69615m1 [1,-1,0,-945,11200] 2 69615m2 [1,-1,0,-2070,-19625] 4 69615m3 [1,-1,0,6705,-147740] 2 69615m4 [1,-1,0,-28845,-1877810] 2
69615n (1 curve)	0	3- 5+ 7- 13- 17+	1 3- 5+ 7- -1 13- 17+  5
Curve Equation t 69615n1 [1,-1,0,-1197945,-872381300] 1
69615o (8 curves)	0	3- 5+ 7- 13- 17+	1 3- 5+ 7- -4 13- 17+  4
Curve Equation t 69615o1 [1,-1,0,-517140,-142335765] 2 69615o2 [1,-1,0,-812385,38885616] 4 69615o3 [1,-1,0,3215340,307132101] 2 69615o4 [1,-1,0,-9564030,11365264575] 4 69615o5 [1,-1,0,-6210225,19448605386] 2 69615o6 [1,-1,0,-152944155,728065157400] 4 69615o7 [1,-1,0,-152863830,728868037905] 2 69615o8 [1,-1,0,-2447106480,46594334856195] 2
69615p (1 curve)	1	3- 5- 7+ 13+ 17+	1 3- 5- 7+  1 13+ 17+  7
Curve Equation t Generators 69615p1 [1,-1,0,-159,1988] 1 [32:154:1]
69615q (2 curves)	1	3- 5- 7+ 13+ 17+	-1 3- 5- 7+  2 13+ 17+ -4
Curve Equation t Generators 69615q1 [1,-1,1,-44132,-3580666] 2 [1016444:-27382077:1331] 69615q2 [1,-1,1,-707387,-228822064] 2 [3054:159991:1]
69615r (1 curve)	1	3- 5- 7+ 13+ 17+	-2 3- 5- 7+  2 13+ 17+  6
Curve Equation t Generators 69615r1 [0,0,1,477933,571316382] 1 [-73:23152:1]
69615s (4 curves)	0	3- 5- 7+ 13+ 17-	-1 3- 5- 7+  4 13+ 17- -8
Curve Equation t 69615s1 [1,-1,1,-2567822,-1583140044] 2 69615s2 [1,-1,1,-2570027,-1580283246] 4 69615s3 [1,-1,1,-1421852,-3000346086] 2 69615s4 [1,-1,1,-3753482,22588206] 2
69615t (4 curves)	0	3- 5- 7+ 13- 17+	1 3- 5- 7+  4 13- 17+  4
Curve Equation t 69615t1 [1,-1,0,-98124,-11805157] 2 69615t2 [1,-1,0,-105729,-9862840] 4 69615t3 [1,-1,0,259896,-63317215] 2 69615t4 [1,-1,0,-593034,167808563] 2
69615u (1 curve)	1	3- 5- 7+ 13- 17-	-1 3- 5- 7+  5 13- 17-  1
Curve Equation t Generators 69615u1 [1,-1,1,24223,-1146724] 1 [76:1024:1]
69615v (1 curve)	1	3- 5- 7- 13+ 17-	-2 3- 5- 7-  6 13+ 17- -6
Curve Equation t Generators 69615v1 [0,0,1,-114267,-15995480] 1 [955:-27311:1]
69615w (1 curve)	1	3- 5- 7- 13- 17+	-2 3- 5- 7-  2 13- 17+ -2
Curve Equation t Generators 69615w1 [0,0,1,303,4252] 1 [40:283:1]
69615x (4 curves)	0	3- 5- 7- 13- 17-	1 3- 5- 7-  0 13- 17-  8
Curve Equation t 69615x1 [1,-1,0,-13104,-1182965] 2 69615x2 [1,-1,0,-266229,-52769840] 4 69615x3 [1,-1,0,-323604,-28316615] 4 69615x4 [1,-1,0,-4258854,-3381820565] 2

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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