Cremona's table of elliptic curves

112112 = 2⁴ · 7² · 11 · 13

Class	r	Atkin-Lehner	Eigenvalues
112112a (1 curve)	1	2+ 7+ 11+ 13+	2+  3  4 7+ 11+ 13+ -2  0
Curve Equation t Generators 112112a1 [0,0,0,20237,-12089035] 1 [2069950520726341860053559508350735662403954130677975983191109508420:24889953913584873944902316957485630678919674073644517204591054358355:8174743026230375908985376669365272869189704691947014686548628609]
112112b (1 curve)	0	2+ 7+ 11- 13+	2+ -1  2 7+ 11- 13+  0 -8
Curve Equation t 112112b1 [0,-1,0,-2172,82447] 1
112112c (1 curve)	1	2+ 7+ 11- 13-	2+ -1  0 7+ 11- 13-  6  0
Curve Equation t Generators 112112c1 [0,-1,0,572,1499] 1 [131:1519:1]
112112d (1 curve)	2	2+ 7- 11+ 13+	2+  1  1 7- 11+ 13+  0 -6
Curve Equation t Generators 112112d1 [0,1,0,-11825,491147] 1 [62:13:1]&[86:343:1]
112112e (2 curves)	0	2+ 7- 11+ 13+	2+  2  0 7- 11+ 13+ -6  0
Curve Equation t 112112e1 [0,-1,0,14292,233024] 2 112112e2 [0,-1,0,-61168,1983696] 2
112112f (2 curves)	0	2+ 7- 11+ 13+	2+  2  2 7- 11+ 13+  6 -6
Curve Equation t 112112f1 [0,-1,0,-352,2640] 2 112112f2 [0,-1,0,-632,-1840] 2
112112g (2 curves)	1	2+ 7- 11+ 13-	2+  0  2 7- 11+ 13- -4  0
Curve Equation t Generators 112112g1 [0,0,0,1421,-39102] 2 [121:1380:1] 112112g2 [0,0,0,-12299,-442470] 2 [-55:260:1]
112112h (1 curve)	1	2+ 7- 11+ 13-	2+  1  1 7- 11+ 13- -4 -2
Curve Equation t Generators 112112h1 [0,1,0,-141185,25380011] 1 [4170:72863:27]
112112i (2 curves)	1	2+ 7- 11+ 13-	2+ -2  0 7- 11+ 13-  6  0
Curve Equation t Generators 112112i1 [0,1,0,292,-596] 2 [18:104:1] 112112i2 [0,1,0,-1248,-6140] 2 [86:-728:1]
112112j (2 curves)	1	2+ 7- 11+ 13-	2+ -2 -2 7- 11+ 13- -6  6
Curve Equation t Generators 112112j1 [0,1,0,-17264,-871004] 2 [-81:50:1] 112112j2 [0,1,0,-30984,693076] 2 [-180:686:1]
112112k (1 curve)	1	2+ 7- 11+ 13-	2+  3 -3 7- 11+ 13-  5  4
Curve Equation t Generators 112112k1 [0,0,0,1421,21266] 1 [-267:2134:27]
112112l (1 curve)	1	2+ 7- 11+ 13-	2+ -3 -4 7- 11+ 13-  2  0
Curve Equation t Generators 112112l1 [0,0,0,413,35245] 1 [-12:169:1]
112112m (1 curve)	1	2+ 7- 11- 13+	2+  0 -1 7- 11- 13+  6  1
Curve Equation t Generators 112112m1 [0,0,0,-102816308,401274318396] 1 [153396215:2727565841:29791]
112112n (1 curve)	1	2+ 7- 11- 13+	2+  1  0 7- 11- 13+ -6  0
Curve Equation t Generators 112112n1 [0,1,0,12,-1] 1 [39:125:27]
112112o (2 curves)	1	2+ 7- 11- 13+	2+  2  2 7- 11- 13+  0 -2
Curve Equation t Generators 112112o1 [0,-1,0,-91352,-18667648] 2 [34333:6361278:1] 112112o2 [0,-1,0,-1751472,-891226720] 2 [927255:-171705050:27]
112112p (1 curve)	1	2+ 7- 11- 13+	2+ -2 -1 7- 11- 13+  2 -5
Curve Equation t Generators 112112p1 [0,1,0,8559,5851] 1 [30:539:1]
112112q (1 curve)	1	2+ 7- 11- 13+	2+  3 -1 7- 11- 13+ -4 -4
Curve Equation t Generators 112112q1 [0,0,0,1585052,-1437234484] 1 [20272059:706328909:19683]
112112r (1 curve)	0	2+ 7- 11- 13-	2+  0  1 7- 11- 13- -6 -1
Curve Equation t 112112r1 [0,0,0,-2098292,-1169895972] 1
112112s (1 curve)	0	2+ 7- 11- 13-	2+  1 -2 7- 11- 13-  0  8
Curve Equation t 112112s1 [0,1,0,-44,-253] 1
112112t (1 curve)	0	2+ 7- 11- 13-	2+ -1  3 7- 11- 13-  0  0
Curve Equation t 112112t1 [0,-1,0,1111,78037] 1
112112u (1 curve)	0	2+ 7- 11- 13-	2+  2 -3 7- 11- 13- -2  4
Curve Equation t 112112u1 [0,-1,0,-7072,231456] 1
112112v (1 curve)	0	2+ 7- 11- 13-	2+ -2  1 7- 11- 13-  6 -7
Curve Equation t 112112v1 [0,1,0,-1794050785,-29248870007589] 1
112112w (2 curves)	2	2+ 7- 11- 13-	2+ -2 -2 7- 11- 13-  0  2
Curve Equation t Generators 112112w1 [0,1,0,-1864,53892] 2 [-32:286:1]&[23:154:1] 112112w2 [0,1,0,-35744,2588116] 2 [276:-3718:1]&[94:260:1]
112112x (1 curve)	1	2- 7+ 11+ 13-	2- -3  0 7+ 11+ 13- -2  0
Curve Equation t Generators 112112x1 [0,0,0,-1225,-21413] 1 [42:35:1]
112112y (1 curve)	0	2- 7+ 11- 13-	2- -3 -2 7+ 11- 13-  4  0
Curve Equation t 112112y1 [0,0,0,-2401,45619] 1
112112z (4 curves)	1	2- 7- 11+ 13+	2-  0 -2 7- 11+ 13+ -2 -4
Curve Equation t Generators 112112z1 [0,0,0,-20531,998130] 2 [119:490:1] 112112z2 [0,0,0,-83251,-8221710] 4 [681:15840:1] 112112z3 [0,0,0,120589,-42181454] 2 [78755:2106126:125] 112112z4 [0,0,0,-1290611,-564331726] 2 [1367:15030:1]
112112ba (1 curve)	1	2- 7- 11+ 13+	2-  0  3 7- 11+ 13+  6  1
Curve Equation t Generators 112112ba1 [0,0,0,-56,588] 1 [2:-22:1]
112112bb (2 curves)	1	2- 7- 11+ 13+	2-  1 -3 7- 11+ 13+  0  2
Curve Equation t Generators 112112bb1 [0,1,0,4443,-50401] 1 [58:637:1] 112112bb2 [0,1,0,-81797,-9234961] 1 [64398:3121937:27]
112112bc (2 curves)	1	2- 7- 11+ 13+	2- -1 -1 7- 11+ 13+ -3  0
Curve Equation t Generators 112112bc1 [0,-1,0,219504,5996992] 1 [34:3674:1] 112112bc2 [0,-1,0,-21897136,-39441527488] 1 [2099873816870682:-2633945339793699602:1334633301]
112112bd (1 curve)	1	2- 7- 11+ 13+	2-  2 -1 7- 11+ 13+  6  0
Curve Equation t Generators 112112bd1 [0,-1,0,-16,-17856] 1 [1344:8632:27]
112112be (1 curve)	1	2- 7- 11+ 13+	2-  3  0 7- 11+ 13+  2  0
Curve Equation t Generators 112112be1 [0,0,0,-60025,7344659] 1 [266692021958245732542:7226978347295653754051:3851723154608811819]
112112bf (4 curves)	0	2- 7- 11+ 13-	2-  0  2 7- 11+ 13-  2 -4
Curve Equation t 112112bf1 [0,0,0,-12299,-4426758] 2 112112bf2 [0,0,0,-486619,-129931830] 4 112112bf3 [0,0,0,-788459,50508122] 4 112112bf4 [0,0,0,-7773899,-8342696390] 2
112112bg (1 curve)	2	2- 7- 11+ 13-	2-  0 -3 7- 11+ 13- -6 -1
Curve Equation t Generators 112112bg1 [0,0,0,-2744,-201684] 1 [74:22:1]&[98:686:1]
112112bh (2 curves)	0	2- 7- 11+ 13-	2-  2 -4 7- 11+ 13- -2  4
Curve Equation t 112112bh1 [0,-1,0,-1045,10956] 2 112112bh2 [0,-1,0,2140,61916] 2
112112bi (1 curve)	0	2- 7- 11+ 13-	2- -3  3 7- 11+ 13-  8 -4
Curve Equation t 112112bi1 [0,0,0,-156016,23977072] 1
112112bj (2 curves)	0	2- 7- 11- 13+	2-  0 -2 7- 11- 13+ -2 -4
Curve Equation t 112112bj1 [0,0,0,-56,-49] 2 112112bj2 [0,0,0,-511,4410] 2
112112bk (2 curves)	0	2- 7- 11- 13+	2-  0 -2 7- 11- 13+  4  0
Curve Equation t 112112bk1 [0,0,0,-541891,-608153406] 2 112112bk2 [0,0,0,-14591171,-21398277950] 2
112112bl (2 curves)	2	2- 7- 11- 13+	2-  0 -4 7- 11- 13+ -4 -6
Curve Equation t Generators 112112bl1 [0,0,0,13573,517930] 2 [63:-1274:1]&[42:1078:1] 112112bl2 [0,0,0,-72667,4743690] 2 [-273:2058:1]&[7:2058:1]
112112bm (1 curve)	0	2- 7- 11- 13+	2- -1  3 7- 11- 13+ -4  0
Curve Equation t 112112bm1 [0,-1,0,-133149,-19059599] 1
112112bn (1 curve)	0	2- 7- 11- 13+	2- -1  3 7- 11- 13+ -7  0
Curve Equation t 112112bn1 [0,-1,0,10176,3767296] 1
112112bo (4 curves)	0	2- 7- 11- 13+	2- -2  0 7- 11- 13+ -6 -4
Curve Equation t 112112bo1 [0,1,0,-61413,5837194] 2 112112bo2 [0,1,0,-58228,6472920] 2 112112bo3 [0,1,0,-116293,-6125274] 2 112112bo4 [0,1,0,421972,-46387496] 2
112112bp (2 curves)	0	2- 7- 11- 13+	2- -2 -3 7- 11- 13+ -6  8
Curve Equation t 112112bp1 [0,1,0,-5112,937684] 1 112112bp2 [0,1,0,45848,-24848076] 1
112112bq (1 curve)	0	2- 7- 11- 13+	2-  3  2 7- 11- 13+ -4  0
Curve Equation t 112112bq1 [0,0,0,-49,-133] 1
112112br (2 curves)	1	2- 7- 11- 13-	2-  0  2 7- 11- 13-  2  4
Curve Equation t Generators 112112br1 [0,0,0,-2744,16807] 2 [-7796883:19338124:148877] 112112br2 [0,0,0,-25039,-1512630] 2 [-46505148940988:35487797664075:482628267584]
112112bs (1 curve)	1	2- 7- 11- 13-	2- -1  1 7- 11- 13-  1 -4
Curve Equation t Generators 112112bs1 [0,-1,0,-26280,1652848] 1 [84:-176:1]
112112bt (1 curve)	1	2- 7- 11- 13-	2- -1  1 7- 11- 13-  4  2
Curve Equation t Generators 112112bt1 [0,-1,0,-1045,-47011] 1 [236:3577:1]
112112bu (1 curve)	1	2- 7- 11- 13-	2-  2  1 7- 11- 13- -2 -1
Curve Equation t Generators 112112bu1 [0,-1,0,-12450965,16975889309] 1 [-380:147147:1]
112112bv (1 curve)	1	2- 7- 11- 13-	2-  2  1 7- 11- 13- -2 -4
Curve Equation t Generators 112112bv1 [0,-1,0,-51760,-6245952] 1 [8328:71632:27]

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