Cremona's table of elliptic curves

59760 = 2⁴ · 3² · 5 · 83

Class	r	Atkin-Lehner	Eigenvalues
59760a (2 curves)	1	2+ 3+ 5+ 83+	2+ 3+ 5+  0  2  4 -6  0
Curve Equation t Generators 59760a1 [0,0,0,-2943,64638] 2 [37:80:1] 59760a2 [0,0,0,-47763,4017762] 2 [121:100:1]
59760b (2 curves)	1	2+ 3+ 5+ 83+	2+ 3+ 5+  2 -2 -4  6 -4
Curve Equation t Generators 59760b1 [0,0,0,-494883,-135027918] 2 [754011689:78698985668:68921] 59760b2 [0,0,0,-7935003,-8603372502] 2 [43761:9134964:1]
59760c (2 curves)	2	2+ 3+ 5+ 83-	2+ 3+ 5+  0 -6 -2 -6  0
Curve Equation t Generators 59760c1 [0,0,0,-123,378] 2 [-11:20:1]&[-6:30:1] 59760c2 [0,0,0,-723,-7182] 2 [-17:14:1]&[-14:14:1]
59760d (2 curves)	0	2+ 3+ 5+ 83-	2+ 3+ 5+  4  2 -4  6  4
Curve Equation t 59760d1 [0,0,0,-63,62] 2 59760d2 [0,0,0,237,482] 2
59760e (2 curves)	0	2+ 3+ 5- 83+	2+ 3+ 5-  0  6 -2  6  0
Curve Equation t 59760e1 [0,0,0,-1107,-10206] 2 59760e2 [0,0,0,-6507,193914] 2
59760f (2 curves)	0	2+ 3+ 5- 83+	2+ 3+ 5-  4 -2 -4 -6  4
Curve Equation t 59760f1 [0,0,0,-567,-1674] 2 59760f2 [0,0,0,2133,-13014] 2
59760g (2 curves)	1	2+ 3+ 5- 83-	2+ 3+ 5-  0 -2  4  6  0
Curve Equation t Generators 59760g1 [0,0,0,-327,-2394] 2 [8995:28832:343] 59760g2 [0,0,0,-5307,-148806] 2 [105:672:1]
59760h (2 curves)	1	2+ 3+ 5- 83-	2+ 3+ 5-  2  2 -4 -6 -4
Curve Equation t Generators 59760h1 [0,0,0,-54987,5001034] 2 [-22:2490:1] 59760h2 [0,0,0,-881667,318643426] 2 [4306:1245:8]
59760i (2 curves)	1	2+ 3- 5+ 83-	2+ 3- 5+  0  2 -2 -4  6
Curve Equation t Generators 59760i1 [0,0,0,-6843,217658] 2 [-11:540:1] 59760i2 [0,0,0,-8643,94178] 2 [-17:486:1]
59760j (2 curves)	1	2+ 3- 5+ 83-	2+ 3- 5+ -4  2  2  0  2
Curve Equation t Generators 59760j1 [0,0,0,-9723,-275078] 2 [-43:252:1] 59760j2 [0,0,0,-54723,4701922] 2 [-91:2988:1]
59760k (2 curves)	1	2+ 3- 5- 83+	2+ 3- 5-  0 -2  4 -4 -2
Curve Equation t Generators 59760k1 [0,0,0,-687,6734] 2 [-2:90:1] 59760k2 [0,0,0,213,23114] 2 [10:162:1]
59760l (4 curves)	1	2+ 3- 5- 83+	2+ 3- 5-  0  4 -2 -2  0
Curve Equation t Generators 59760l1 [0,0,0,4038,141491] 2 [-9499:31480:343] 59760l2 [0,0,0,-28767,1473374] 4 [-187:560:1] 59760l3 [0,0,0,-150267,-21149926] 2 [-16828:27335:64] 59760l4 [0,0,0,-432147,109337186] 4 [-743:4500:1]
59760m (1 curve)	1	2+ 3- 5- 83+	2+ 3- 5- -1  3 -4  5  0
Curve Equation t Generators 59760m1 [0,0,0,-147,-2014] 1 [17:20:1]
59760n (2 curves)	1	2+ 3- 5- 83+	2+ 3- 5- -4  0  4  2  8
Curve Equation t Generators 59760n1 [0,0,0,-45507,589394] 2 [-47:1620:1] 59760n2 [0,0,0,179493,4684394] 2 [223:-7470:1]
59760o (4 curves)	2	2+ 3- 5- 83-	2+ 3- 5-  0 -4 -6 -2 -8
Curve Equation t Generators 59760o1 [0,0,0,-18687,-983234] 2 [177:1120:1]&[245:3024:1] 59760o2 [0,0,0,-18867,-963326] 4 [-87:140:1]&[-85:162:1] 59760o3 [0,0,0,8133,-3495926] 4 [183:2030:1]&[215:2862:1] 59760o4 [0,0,0,-48747,2843386] 2 [-223:1620:1]&[-193:2250:1]
59760p (1 curve)	0	2+ 3- 5- 83-	2+ 3- 5- -3  1 -2  3  6
Curve Equation t 59760p1 [0,0,0,-1602,-38529] 1
59760q (2 curves)	0	2- 3+ 5+ 83+	2- 3+ 5+  0  0  2  4  6
Curve Equation t 59760q1 [0,0,0,-40083,3067218] 2 59760q2 [0,0,0,-640083,197107218] 2
59760r (2 curves)	0	2- 3+ 5+ 83+	2- 3+ 5+  0  4  4  4  2
Curve Equation t 59760r1 [0,0,0,-1563,-4662] 2 59760r2 [0,0,0,6117,-36918] 2
59760s (2 curves)	0	2- 3+ 5+ 83+	2- 3+ 5+ -4  6  0 -2  4
Curve Equation t 59760s1 [0,0,0,1797,68202] 2 59760s2 [0,0,0,-18123,821178] 2
59760t (2 curves)	0	2- 3+ 5- 83-	2- 3+ 5-  0  0  2 -4  6
Curve Equation t 59760t1 [0,0,0,-360747,-82814886] 2 59760t2 [0,0,0,-5760747,-5321894886] 2
59760u (2 curves)	0	2- 3+ 5- 83-	2- 3+ 5-  0 -4  4 -4  2
Curve Equation t 59760u1 [0,0,0,-14067,125874] 2 59760u2 [0,0,0,55053,996786] 2
59760v (2 curves)	2	2- 3+ 5- 83-	2- 3+ 5- -4 -6  0  2  4
Curve Equation t Generators 59760v1 [0,0,0,16173,-1841454] 2 [247:-4150:1]&[97:800:1] 59760v2 [0,0,0,-163107,-22171806] 2 [-297:270:1]&[-287:1000:1]
59760w (2 curves)	1	2- 3- 5+ 83+	2- 3- 5+  0  2  4  4  2
Curve Equation t Generators 59760w1 [0,0,0,-4996083,-4284768782] 2 [-128617787977:-79187816358:95443993] 59760w2 [0,0,0,-2746083,-8162418782] 2 [377242460591243507181:-4249441983064146490426:150137003713403771]
59760x (2 curves)	1	2- 3- 5+ 83+	2- 3- 5+  0 -2 -4  0  6
Curve Equation t Generators 59760x1 [0,0,0,-5763,-148862] 2 [-49:126:1] 59760x2 [0,0,0,8637,-773822] 2 [111:1246:1]
59760y (1 curve)	1	2- 3- 5+ 83+	2- 3- 5+ -1  3 -6  7 -2
Curve Equation t Generators 59760y1 [0,0,0,-15723,-759078] 1 [421:8200:1]
59760z (2 curves)	1	2- 3- 5+ 83+	2- 3- 5+ -2  0  2 -2 -4
Curve Equation t Generators 59760z1 [0,0,0,-4323,-493342] 2 [497:10960:1] 59760z2 [0,0,0,-123843,-16724158] 2 [-199:200:1]
59760ba (1 curve)	1	2- 3- 5+ 83+	2- 3- 5+  3  3 -4  1  0
Curve Equation t Generators 59760ba1 [0,0,0,477,121122] 1 [49:512:1]
59760bb (1 curve)	1	2- 3- 5+ 83+	2- 3- 5+  3 -5  2  3  6
Curve Equation t Generators 59760bb1 [0,0,0,-1610643,796047442] 1 [-903:38912:1]
59760bc (1 curve)	1	2- 3- 5+ 83+	2- 3- 5+ -3 -5 -2  1  2
Curve Equation t Generators 59760bc1 [0,0,0,72,27] 1 [1:10:1]
59760bd (2 curves)	1	2- 3- 5+ 83+	2- 3- 5+ -5  3 -4 -3 -8
Curve Equation t Generators 59760bd1 [0,0,0,5397,-112102] 1 [149:2000:1] 59760bd2 [0,0,0,-120603,-16315702] 1 [509:7360:1]
59760be (2 curves)	2	2- 3- 5+ 83-	2- 3- 5+ -2  4 -6  2 -8
Curve Equation t Generators 59760be1 [0,0,0,-7923,276658] 2 [-7:576:1]&[41:-144:1] 59760be2 [0,0,0,-127443,17511442] 2 [209:72:1]&[-169:5850:1]
59760bf (2 curves)	0	2- 3- 5+ 83-	2- 3- 5+  4 -2  6 -4 -2
Curve Equation t 59760bf1 [0,0,0,-44601123,-114601600478] 2 59760bf2 [0,0,0,-51973923,-74149995998] 2
59760bg (2 curves)	0	2- 3- 5+ 83-	2- 3- 5+  4 -4 -4  6  0
Curve Equation t 59760bg1 [0,0,0,-506163,135678962] 2 59760bg2 [0,0,0,69837,426789362] 2
59760bh (4 curves)	0	2- 3- 5- 83+	2- 3- 5-  0  0 -6 -6 -4
Curve Equation t 59760bh1 [0,0,0,15212373,-7237764646] 2 59760bh2 [0,0,0,-64148907,-59346381094] 4 59760bh3 [0,0,0,-586929387,5429116766234] 4 59760bh4 [0,0,0,-811148907,-8882760981094] 2
59760bi (2 curves)	0	2- 3- 5- 83+	2- 3- 5-  0  6  6  0  2
Curve Equation t 59760bi1 [0,0,0,-31467,1977626] 2 59760bi2 [0,0,0,-492267,132936986] 2
59760bj (2 curves)	0	2- 3- 5- 83+	2- 3- 5-  1  3  2 -3 -2
Curve Equation t 59760bj1 [0,0,0,-12432,533531] 1 59760bj2 [0,0,0,-10992,661799] 1
59760bk (2 curves)	0	2- 3- 5- 83+	2- 3- 5-  4  2 -2  0 -6
Curve Equation t 59760bk1 [0,0,0,-2667,-7526] 2 59760bk2 [0,0,0,-31467,-2144486] 2
59760bl (4 curves)	1	2- 3- 5- 83-	2- 3- 5-  0  0  2  2  4
Curve Equation t Generators 59760bl1 [0,0,0,-1947,-4214] 2 [-3:40:1] 59760bl2 [0,0,0,-19947,1079386] 4 [-139:1080:1] 59760bl3 [0,0,0,-9147,2243626] 4 [-129:1130:1] 59760bl4 [0,0,0,-318747,69265546] 2 [2351:110970:1]
59760bm (4 curves)	1	2- 3- 5- 83-	2- 3- 5-  0  0  6 -6 -4
Curve Equation t Generators 59760bm1 [0,0,0,-65307,-6314294] 2 [-153:310:1] 59760bm2 [0,0,0,-137307,10116106] 4 [1287:44330:1] 59760bm3 [0,0,0,460293,74537386] 2 [15835230125:-925760656062:65450827] 59760bm4 [0,0,0,-1886907,997240426] 4 [35532423355:-202001366034:39651821]
59760bn (4 curves)	1	2- 3- 5- 83-	2- 3- 5-  0 -4  2  6  0
Curve Equation t Generators 59760bn1 [0,0,0,-954507,157748794] 2 [3058:16600500:1331] 59760bn2 [0,0,0,-12750987,17515089466] 4 [287:117810:1] 59760bn3 [0,0,0,-10262667,24555542074] 4 [293:146880:1] 59760bn4 [0,0,0,-203982987,1121344439866] 2 [3073161:-39058690:343]
59760bo (1 curve)	1	2- 3- 5- 83-	2- 3- 5-  3  5  2 -3 -6
Curve Equation t Generators 59760bo1 [0,0,0,-192,1051] 1 [-3:40:1]
59760bp (4 curves)	1	2- 3- 5- 83-	2- 3- 5- -4  4  2 -2  0
Curve Equation t Generators 59760bp1 [0,0,0,8133,161386] 2 [-7928:91215:512] 59760bp2 [0,0,0,-37947,1387114] 4 [-202:900:1] 59760bp3 [0,0,0,-297147,-61391126] 2 [650:4482:1] 59760bp4 [0,0,0,-516027,142611946] 2 [-793:7290:1]

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

Part of Computational Number Theory
Back to Tables and computations