Cremona's table of elliptic curves

10080 = 2⁵ · 3² · 5 · 7

Class	r	Atkin-Lehner	Eigenvalues
10080a (2 curves)	1	2+ 3+ 5+ 7+	2+ 3+ 5+ 7+  0 -2  4 -2
Curve Equation t Generators 10080a1 [0,0,0,-33,72] 2 [-3:12:1] 10080a2 [0,0,0,-3,198] 2 [1:14:1]
10080b (2 curves)	1	2+ 3+ 5+ 7+	2+ 3+ 5+ 7+  0 -4  2 -2
Curve Equation t Generators 10080b1 [0,0,0,-33,-68] 2 [-3:2:1] 10080b2 [0,0,0,-108,352] 2 [-6:28:1]
10080c (2 curves)	1	2+ 3+ 5+ 7+	2+ 3+ 5+ 7+ -4  0  2  2
Curve Equation t Generators 10080c1 [0,0,0,-40473,233172] 2 [-83:1738:1] 10080c2 [0,0,0,-462348,120720672] 2 [-278:15092:1]
10080d (2 curves)	0	2+ 3+ 5+ 7-	2+ 3+ 5+ 7-  0 -2  4  2
Curve Equation t 10080d1 [0,0,0,-33,-72] 2 10080d2 [0,0,0,-3,-198] 2
10080e (2 curves)	0	2+ 3+ 5- 7+	2+ 3+ 5- 7+ -4  2 -8  6
Curve Equation t 10080e1 [0,0,0,-7857,-268056] 2 10080e2 [0,0,0,-7587,-287334] 2
10080f (2 curves)	1	2+ 3+ 5- 7-	2+ 3+ 5- 7-  0 -4 -2  2
Curve Equation t Generators 10080f1 [0,0,0,-297,-1836] 2 [-11:10:1] 10080f2 [0,0,0,-972,9504] 2 [-30:108:1]
10080g (2 curves)	1	2+ 3+ 5- 7-	2+ 3+ 5- 7-  4  2 -8 -6
Curve Equation t Generators 10080g1 [0,0,0,-7857,268056] 2 [-3:540:1] 10080g2 [0,0,0,-7587,287334] 2 [33:270:1]
10080h (2 curves)	1	2+ 3+ 5- 7-	2+ 3+ 5- 7- -4  0 -2 -2
Curve Equation t Generators 10080h1 [0,0,0,-4497,8636] 2 [-43:350:1] 10080h2 [0,0,0,-51372,4471136] 2 [-158:2940:1]
10080i (4 curves)	0	2+ 3- 5+ 7+	2+ 3- 5+ 7+  0  2  2  4
Curve Equation t 10080i1 [0,0,0,-8013,267388] 4 10080i2 [0,0,0,-20163,-736202] 2 10080i3 [0,0,0,-127083,17437282] 2 10080i4 [0,0,0,3012,946528] 2
10080j (4 curves)	0	2+ 3- 5+ 7+	2+ 3- 5+ 7+  0 -2 -2 -8
Curve Equation t 10080j1 [0,0,0,-7353,-242352] 4 10080j2 [0,0,0,-117603,-15523002] 2 10080j3 [0,0,0,-9603,-81702] 2 10080j4 [0,0,0,-5148,-390528] 2
10080k (1 curve)	0	2+ 3- 5+ 7+	2+ 3- 5+ 7+  3  1  1  4
Curve Equation t 10080k1 [0,0,0,72,-432] 1
10080l (1 curve)	0	2+ 3- 5+ 7+	2+ 3- 5+ 7+  3 -7  5  4
Curve Equation t 10080l1 [0,0,0,312,12112] 1
10080m (4 curves)	0	2+ 3- 5+ 7+	2+ 3- 5+ 7+ -4  6  6  4
Curve Equation t 10080m1 [0,0,0,-633,-6032] 4 10080m2 [0,0,0,-10083,-389702] 2 10080m3 [0,0,0,-1308,9088] 2 10080m4 [0,0,0,-3,-17498] 2
10080n (4 curves)	0	2+ 3- 5+ 7+	2+ 3- 5+ 7+ -4 -6 -6  4
Curve Equation t 10080n1 [0,0,0,-57408753,167423033752] 4 10080n2 [0,0,0,-57605628,166216898752] 2 10080n3 [0,0,0,-918540003,10715075262502] 2 10080n4 [0,0,0,-57211923,168628066378] 2
10080o (2 curves)	0	2+ 3- 5+ 7+	2+ 3- 5+ 7+  6  4 -6 -6
Curve Equation t 10080o1 [0,0,0,-12333,-527168] 2 10080o2 [0,0,0,-12108,-547328] 2
10080p (4 curves)	1	2+ 3- 5+ 7-	2+ 3- 5+ 7-  0 -2 -2  8
Curve Equation t Generators 10080p1 [0,0,0,-7353,242352] 4 [27:252:1] 10080p2 [0,0,0,-9603,81702] 2 [-39:630:1] 10080p3 [0,0,0,-117603,15523002] 2 [202:98:1] 10080p4 [0,0,0,-5148,390528] 2 [48:504:1]
10080q (1 curve)	1	2+ 3- 5+ 7-	2+ 3- 5+ 7- -3  1  1 -4
Curve Equation t Generators 10080q1 [0,0,0,72,432] 1 [4:28:1]
10080r (4 curves)	1	2+ 3- 5+ 7-	2+ 3- 5+ 7-  4 -2  2 -8
Curve Equation t Generators 10080r1 [0,0,0,-47253,-3952748] 4 [14146:590121:8] 10080r2 [0,0,0,-756003,-253007498] 2 [-83976006846:18653998:167284151] 10080r3 [0,0,0,-52923,-2944622] 2 [41558394378:-541475656250:119823157] 10080r4 [0,0,0,-41628,-4929248] 2 [269:1827:1]
10080s (4 curves)	1	2+ 3- 5+ 7-	2+ 3- 5+ 7-  4  6  6 -4
Curve Equation t Generators 10080s1 [0,0,0,-633,6032] 4 [-11:108:1] 10080s2 [0,0,0,-1308,-9088] 2 [-11:63:1] 10080s3 [0,0,0,-10083,389702] 2 [94:522:1] 10080s4 [0,0,0,-3,17498] 2 [74:650:1]
10080t (4 curves)	1	2+ 3- 5+ 7-	2+ 3- 5+ 7-  4 -6 -6 -4
Curve Equation t Generators 10080t1 [0,0,0,-57408753,-167423033752] 4 [310733156646371195829476:15776759889751052734129294:31084757195961989521] 10080t2 [0,0,0,-918540003,-10715075262502] 2 [-2709448393398245503535890012164551632987267617192540494:-2830333034362197885691357460432854152558597780783:154843319340215733625255738598528392265752489648072] 10080t3 [0,0,0,-57605628,-166216898752] 2 [-13539312764036:-137039543016300:3183010111] 10080t4 [0,0,0,-57211923,-168628066378] 2 [2117154185849:372371061086262:64481201]
10080u (4 curves)	1	2+ 3- 5+ 7-	2+ 3- 5+ 7- -4 -2  2  0
Curve Equation t Generators 10080u1 [0,0,0,-453,1748] 4 [-16:70:1] 10080u2 [0,0,0,-3603,-82042] 2 [-34:34:1] 10080u3 [0,0,0,-6123,184322] 2 [146:1550:1] 10080u4 [0,0,0,1572,13088] 2 [13:189:1]
10080v (2 curves)	1	2+ 3- 5+ 7-	2+ 3- 5+ 7- -6  4 -6  6
Curve Equation t Generators 10080v1 [0,0,0,-12333,527168] 2 [59:70:1] 10080v2 [0,0,0,-12108,547328] 2 [-2:756:1]
10080w (4 curves)	1	2+ 3- 5- 7+	2+ 3- 5- 7+  0  2  6 -4
Curve Equation t Generators 10080w1 [0,0,0,-1497,15136] 4 [-13:180:1] 10080w2 [0,0,0,-9372,-337664] 2 [-48:40:1] 10080w3 [0,0,0,-21747,1234186] 2 [122:630:1] 10080w4 [0,0,0,4173,102454] 2 [-7:270:1]
10080x (1 curve)	1	2+ 3- 5- 7+	2+ 3- 5- 7+  1 -1  3 -8
Curve Equation t Generators 10080x1 [0,0,0,269208,52744176] 1 [292:12500:1]
10080y (4 curves)	1	2+ 3- 5- 7+	2+ 3- 5- 7+  4  2 -6  4
Curve Equation t Generators 10080y1 [0,0,0,-117,324] 4 [-5:28:1] 10080y2 [0,0,0,-747,-7614] 2 [-14:10:1] 10080y3 [0,0,0,-1692,26784] 2 [40:152:1] 10080y4 [0,0,0,333,2214] 2 [30:198:1]
10080z (4 curves)	0	2+ 3- 5- 7-	2+ 3- 5- 7-  0  2  6  4
Curve Equation t 10080z1 [0,0,0,-1497,-15136] 4 10080z2 [0,0,0,-21747,-1234186] 2 10080z3 [0,0,0,-9372,337664] 2 10080z4 [0,0,0,4173,-102454] 2
10080ba (1 curve)	0	2+ 3- 5- 7-	2+ 3- 5- 7- -1  3  7  4
Curve Equation t 10080ba1 [0,0,0,-552,-6064] 1
10080bb (4 curves)	0	2+ 3- 5- 7-	2+ 3- 5- 7-  4 -2  2  4
Curve Equation t 10080bb1 [0,0,0,-182397,29901436] 4 10080bb2 [0,0,0,-261147,1567186] 2 10080bb3 [0,0,0,-2916147,1916735686] 4 10080bb4 [0,0,0,-105852,55191904] 2
10080bc (4 curves)	0	2+ 3- 5- 7-	2+ 3- 5- 7- -4  6  2 -4
Curve Equation t 10080bc1 [0,0,0,-237,-884] 4 10080bc2 [0,0,0,-3387,-75854] 2 10080bc3 [0,0,0,-1587,23686] 4 10080bc4 [0,0,0,708,-6176] 2
10080bd (2 curves)	0	2- 3+ 5+ 7+	2- 3+ 5+ 7+  4  2  8  6
Curve Equation t 10080bd1 [0,0,0,-873,9928] 2 10080bd2 [0,0,0,-843,10642] 2
10080be (2 curves)	1	2- 3+ 5+ 7-	2- 3+ 5+ 7-  0 -4  2  2
Curve Equation t Generators 10080be1 [0,0,0,-33,68] 2 [-1:10:1] 10080be2 [0,0,0,-108,-352] 2 [-4:4:1]
10080bf (2 curves)	1	2- 3+ 5+ 7-	2- 3+ 5+ 7-  4  0  2 -2
Curve Equation t Generators 10080bf1 [0,0,0,-40473,-233172] 2 [-39:1134:1] 10080bf2 [0,0,0,-462348,-120720672] 2 [1293:37989:1]
10080bg (2 curves)	1	2- 3+ 5+ 7-	2- 3+ 5+ 7- -4  2  8 -6
Curve Equation t Generators 10080bg1 [0,0,0,-873,-9928] 2 [104:1012:1] 10080bg2 [0,0,0,-843,-10642] 2 [41:154:1]
10080bh (2 curves)	1	2- 3+ 5- 7+	2- 3+ 5- 7+  0 -2 -4 -2
Curve Equation t Generators 10080bh1 [0,0,0,-297,-1944] 2 [40:224:1] 10080bh2 [0,0,0,-27,-5346] 2 [25:98:1]
10080bi (2 curves)	1	2- 3+ 5- 7+	2- 3+ 5- 7+  0 -4 -2 -2
Curve Equation t Generators 10080bi1 [0,0,0,-297,1836] 2 [-15:54:1] 10080bi2 [0,0,0,-972,-9504] 2 [-20:44:1]
10080bj (2 curves)	1	2- 3+ 5- 7+	2- 3+ 5- 7+  4  0 -2  2
Curve Equation t Generators 10080bj1 [0,0,0,-4497,-8636] 2 [-57:250:1] 10080bj2 [0,0,0,-51372,-4471136] 2 [-132:100:1]
10080bk (2 curves)	0	2- 3+ 5- 7-	2- 3+ 5- 7-  0 -2 -4  2
Curve Equation t 10080bk1 [0,0,0,-297,1944] 2 10080bk2 [0,0,0,-27,5346] 2
10080bl (2 curves)	1	2- 3- 5+ 7+	2- 3- 5+ 7+ -2 -4  2 -6
Curve Equation t Generators 10080bl1 [0,0,0,-1893,-26192] 2 [-19:54:1] 10080bl2 [0,0,0,3732,-152192] 2 [53:441:1]
10080bm (4 curves)	1	2- 3- 5+ 7+	2- 3- 5+ 7+  4 -2  2  0
Curve Equation t Generators 10080bm1 [0,0,0,-453,-1748] 4 [-9:40:1] 10080bm2 [0,0,0,-6123,-184322] 2 [98:396:1] 10080bm3 [0,0,0,-3603,82042] 2 [54:212:1] 10080bm4 [0,0,0,1572,-13088] 2 [14:108:1]
10080bn (4 curves)	1	2- 3- 5+ 7+	2- 3- 5+ 7+ -4 -2  2  8
Curve Equation t Generators 10080bn1 [0,0,0,-47253,3952748] 4 [-1:2000:1] 10080bn2 [0,0,0,-52923,2944622] 2 [322:4392:1] 10080bn3 [0,0,0,-756003,253007498] 2 [566:2536:1] 10080bn4 [0,0,0,-41628,4929248] 2 [46:1764:1]
10080bo (1 curve)	1	2- 3- 5+ 7+	2- 3- 5+ 7+ -5  5  5  0
Curve Equation t Generators 10080bo1 [0,0,0,-13368,1032208] 1 [96:796:1]
10080bp (4 curves)	0	2- 3- 5+ 7-	2- 3- 5+ 7-  0  2  2 -4
Curve Equation t 10080bp1 [0,0,0,-8013,-267388] 4 10080bp2 [0,0,0,-127083,-17437282] 2 10080bp3 [0,0,0,-20163,736202] 2 10080bp4 [0,0,0,3012,-946528] 2
10080bq (2 curves)	0	2- 3- 5+ 7-	2- 3- 5+ 7-  2 -4  2  6
Curve Equation t 10080bq1 [0,0,0,-1893,26192] 2 10080bq2 [0,0,0,3732,152192] 2
10080br (1 curve)	0	2- 3- 5+ 7-	2- 3- 5+ 7- -3 -7  5 -4
Curve Equation t 10080br1 [0,0,0,312,-12112] 1
10080bs (1 curve)	0	2- 3- 5+ 7-	2- 3- 5+ 7-  5  5  5  0
Curve Equation t 10080bs1 [0,0,0,-13368,-1032208] 1
10080bt (1 curve)	0	2- 3- 5- 7+	2- 3- 5- 7+  1 -1 -1  0
Curve Equation t 10080bt1 [0,0,0,-2712,-54416] 1
10080bu (1 curve)	0	2- 3- 5- 7+	2- 3- 5- 7+  1  3  7 -4
Curve Equation t 10080bu1 [0,0,0,-552,6064] 1
10080bv (2 curves)	0	2- 3- 5- 7+	2- 3- 5- 7+  2  0  6  6
Curve Equation t 10080bv1 [0,0,0,-237,-1384] 2 10080bv2 [0,0,0,-12,-3904] 2
10080bw (4 curves)	0	2- 3- 5- 7+	2- 3- 5- 7+  4  2  2  0
Curve Equation t 10080bw1 [0,0,0,-38937,2406616] 4 10080bw2 [0,0,0,-190812,-29912384] 2 10080bw3 [0,0,0,-590187,174506866] 2 10080bw4 [0,0,0,80133,14242174] 4
10080bx (4 curves)	0	2- 3- 5- 7+	2- 3- 5- 7+  4  6  2  4
Curve Equation t 10080bx1 [0,0,0,-237,884] 4 10080bx2 [0,0,0,-1587,-23686] 2 10080bx3 [0,0,0,-3387,75854] 2 10080bx4 [0,0,0,708,6176] 4
10080by (4 curves)	0	2- 3- 5- 7+	2- 3- 5- 7+ -4 -2  2 -4
Curve Equation t 10080by1 [0,0,0,-182397,-29901436] 4 10080by2 [0,0,0,-2916147,-1916735686] 2 10080by3 [0,0,0,-261147,-1567186] 2 10080by4 [0,0,0,-105852,-55191904] 4
10080bz (4 curves)	0	2- 3- 5- 7+	2- 3- 5- 7+ -4 -6 -6  0
Curve Equation t 10080bz1 [0,0,0,-178617,29049176] 4 10080bz2 [0,0,0,-200667,21424286] 2 10080bz3 [0,0,0,-2857692,1859393216] 4 10080bz4 [0,0,0,-156747,36428114] 2
10080ca (1 curve)	1	2- 3- 5- 7-	2- 3- 5- 7- -1 -1 -1  0
Curve Equation t Generators 10080ca1 [0,0,0,-2712,54416] 1 [32:20:1]
10080cb (1 curve)	1	2- 3- 5- 7-	2- 3- 5- 7- -1 -1  3  8
Curve Equation t Generators 10080cb1 [0,0,0,269208,-52744176] 1 [208:3500:1]
10080cc (2 curves)	1	2- 3- 5- 7-	2- 3- 5- 7- -2  0  6 -6
Curve Equation t Generators 10080cc1 [0,0,0,-237,1384] 2 [5:18:1] 10080cc2 [0,0,0,-12,3904] 2 [5:63:1]
10080cd (4 curves)	1	2- 3- 5- 7-	2- 3- 5- 7-  4 -6 -6  0
Curve Equation t Generators 10080cd1 [0,0,0,-178617,-29049176] 4 [600:8932:1] 10080cd2 [0,0,0,-2857692,-1859393216] 2 [344580:23846207:64] 10080cd3 [0,0,0,-200667,-21424286] 2 [805530:11815412:1331] 10080cd4 [0,0,0,-156747,-36428114] 4 [825:19894:1]
10080ce (4 curves)	1	2- 3- 5- 7-	2- 3- 5- 7- -4  2  2  0
Curve Equation t Generators 10080ce1 [0,0,0,-38937,-2406616] 4 [-127:700:1] 10080ce2 [0,0,0,-590187,-174506866] 2 [-442:70:1] 10080ce3 [0,0,0,-190812,29912384] 4 [-382:6860:1] 10080ce4 [0,0,0,80133,-14242174] 2 [1042:34650:1]
10080cf (4 curves)	1	2- 3- 5- 7-	2- 3- 5- 7- -4  2 -6 -4
Curve Equation t Generators 10080cf1 [0,0,0,-117,-324] 4 [-8:10:1] 10080cf2 [0,0,0,-1692,-26784] 2 [120:1224:1] 10080cf3 [0,0,0,-747,7614] 2 [-27:90:1] 10080cf4 [0,0,0,333,-2214] 2 [10:46:1]

Data from Elliptic Curve Data by J. E. Cremona.
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