Cremona's table of elliptic curves

12810 = 2 · 3 · 5 · 7 · 61

Class	r	Atkin-Lehner	Eigenvalues
12810a (2 curves)	1	2+ 3+ 5+ 7+ 61+	2+ 3+ 5+ 7+  0 -4 -4  6
Curve Equation t Generators 12810a1 [1,1,0,-100978818,248495750388] 2 [10723987614708688297570116:-1396621472573028389388195746:509127883277823397197] 12810a2 [1,1,0,299021182,1729535750388] 2 [-11449189966282916:17802795299348169394:14560745952059]
12810b (1 curve)	1	2+ 3+ 5+ 7+ 61+	2+ 3+ 5+ 7+  3  5  8  0
Curve Equation t Generators 12810b1 [1,1,0,-6494803,-9589541843] 1 [114493820645718152862:5566533148652358965299:26086559003692552]
12810c (4 curves)	1	2+ 3+ 5- 7+ 61-	2+ 3+ 5- 7+ -4  6 -2  4
Curve Equation t Generators 12810c1 [1,1,0,-21357,-392931] 2 [-135:297:1] 12810c2 [1,1,0,-272237,-54733539] 4 [21727:3190874:1] 12810c3 [1,1,0,-4354637,-3499462659] 2 [-40614495133:20354713459:33698267] 12810c4 [1,1,0,-203917,-82785731] 2 [844660860745:-8449549836482:1349232625]
12810d (2 curves)	1	2+ 3+ 5- 7+ 61-	2+ 3+ 5- 7+ -6  2  6  4
Curve Equation t Generators 12810d1 [1,1,0,-52,-164] 2 [-5:4:1] 12810d2 [1,1,0,18,-486] 2 [9:18:1]
12810e (2 curves)	1	2+ 3- 5+ 7+ 61-	2+ 3- 5+ 7+ -4 -4  0  6
Curve Equation t Generators 12810e1 [1,0,1,-19029,-1010144] 2 [-82:63:1] 12810e2 [1,0,1,-12629,-1698784] 2 [291:4246:1]
12810f (1 curve)	1	2+ 3- 5- 7+ 61+	2+ 3- 5- 7+  2 -1 -1  3
Curve Equation t Generators 12810f1 [1,0,1,-323,-5722] 1 [54:340:1]
12810g (4 curves)	0	2+ 3- 5- 7- 61+	2+ 3- 5- 7-  4  6 -2 -4
Curve Equation t 12810g1 [1,0,1,32,-34] 2 12810g2 [1,0,1,-148,-322] 4 12810g3 [1,0,1,-1978,-33994] 2 12810g4 [1,0,1,-1198,15638] 2
12810h (4 curves)	1	2+ 3- 5- 7- 61-	2+ 3- 5- 7-  0 -4  0  2
Curve Equation t Generators 12810h1 [1,0,1,-11103,443506] 6 [-70:972:1] 12810h2 [1,0,1,-1103,1215506] 6 [-105:472:1] 12810h3 [1,0,1,-92478,-10616144] 2 [-1330:3961:8] 12810h4 [1,0,1,9922,-32816464] 2 [357:3853:1]
12810i (1 curve)	1	2- 3+ 5+ 7+ 61-	2- 3+ 5+ 7+  1  3  0 -4
Curve Equation t Generators 12810i1 [1,1,1,1779,-6311421] 1 [279:3860:1]
12810j (2 curves)	1	2- 3+ 5+ 7- 61+	2- 3+ 5+ 7-  2  6 -6  4
Curve Equation t Generators 12810j1 [1,1,1,-41461,-3266377] 2 [1283:44718:1] 12810j2 [1,1,1,-38031,-3824781] 2 [180168:2546385:512]
12810k (1 curve)	1	2- 3+ 5+ 7- 61+	2- 3+ 5+ 7- -3  1  0 -4
Curve Equation t Generators 12810k1 [1,1,1,-33411,5409633] 1 [51:-1986:1]
12810l (2 curves)	1	2- 3+ 5+ 7- 61+	2- 3+ 5+ 7-  6 -2 -6 -4
Curve Equation t Generators 12810l1 [1,1,1,-321661,70083539] 2 [323:-36:1] 12810l2 [1,1,1,-321381,70212003] 2 [337:398:1]
12810m (1 curve)	0	2- 3+ 5- 7+ 61-	2- 3+ 5- 7+ -2  3 -3  7
Curve Equation t 12810m1 [1,1,1,5725835,-252470707813] 1
12810n (6 curves)	0	2- 3+ 5- 7+ 61-	2- 3+ 5- 7+  4  6 -6 -4
Curve Equation t 12810n1 [1,1,1,-3774775,2820939917] 4 12810n2 [1,1,1,-4102455,2301763725] 8 12810n3 [1,1,1,-24102455,-43722236275] 4 12810n4 [1,1,1,10654665,15105041037] 4 12810n5 [1,1,1,-381312455,-2866109888275] 2 12810n6 [1,1,1,13107545,-166470584275] 2
12810o (4 curves)	0	2- 3+ 5- 7+ 61-	2- 3+ 5- 7+  4 -6  6 -8
Curve Equation t 12810o1 [1,1,1,-2160,-37935] 4 12810o2 [1,1,1,-34160,-2444335] 4 12810o3 [1,1,1,-546560,-155754415] 2 12810o4 [1,1,1,-33760,-2503855] 2
12810p (1 curve)	0	2- 3+ 5- 7+ 61-	2- 3+ 5- 7+  5  3  4  0
Curve Equation t 12810p1 [1,1,1,10,5] 1
12810q (1 curve)	0	2- 3+ 5- 7- 61+	2- 3+ 5- 7-  1  1 -4  8
Curve Equation t 12810q1 [1,1,1,-541930,165338825] 1
12810r (2 curves)	1	2- 3+ 5- 7- 61-	2- 3+ 5- 7- -2 -6  2 -4
Curve Equation t Generators 12810r1 [1,1,1,-1355,18425] 2 [3:118:1] 12810r2 [1,1,1,-235,49337] 2 [17:216:1]
12810s (4 curves)	1	2- 3- 5+ 7+ 61+	2- 3- 5+ 7+ -4  2  2  0
Curve Equation t Generators 12810s1 [1,0,0,2689,-26224359] 2 [550:11629:1] 12810s2 [1,0,0,-1308031,-565978855] 4 [-682:3341:1] 12810s3 [1,0,0,-20828031,-36588186855] 2 [-2634:1389:1] 12810s4 [1,0,0,-2759551,917184281] 2 [2390:88109:1]
12810t (4 curves)	0	2- 3- 5+ 7- 61+	2- 3- 5+ 7-  4 -2  6 -8
Curve Equation t 12810t1 [1,0,0,-1341,-18975] 2 12810t2 [1,0,0,-1841,-3675] 4 12810t3 [1,0,0,-18991,1001315] 2 12810t4 [1,0,0,7309,-27465] 2
12810u (1 curve)	1	2- 3- 5+ 7- 61-	2- 3- 5+ 7-  1 -5  0 -4
Curve Equation t Generators 12810u1 [1,0,0,-461,7185] 1 [58:-449:1]
12810v (2 curves)	0	2- 3- 5- 7+ 61+	2- 3- 5- 7+  0  0  4 -6
Curve Equation t 12810v1 [1,0,0,-20,0] 2 12810v2 [1,0,0,80,20] 2
12810w (4 curves)	0	2- 3- 5- 7- 61-	2- 3- 5- 7-  0  6  2  4
Curve Equation t 12810w1 [1,0,0,-580,5120] 4 12810w2 [1,0,0,-1560,-17028] 4 12810w3 [1,0,0,-22910,-1336458] 2 12810w4 [1,0,0,4110,-111150] 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
Back to Tables and computations