Cremona's table of elliptic curves

10944 = 2⁶ · 3² · 19

Class	r	Atkin-Lehner	Eigenvalues
10944a (2 curves)	1	2+ 3+ 19+	2+ 3+  0  0  2  2 -4 19+
Curve Equation t Generators 10944a1 [0,0,0,-60,-112] 2 [-4:8:1] 10944a2 [0,0,0,180,-784] 2 [20:104:1]
10944b (2 curves)	1	2+ 3+ 19+	2+ 3+  0  0 -2  2  4 19+
Curve Equation t Generators 10944b1 [0,0,0,-540,3024] 2 [-2:64:1] 10944b2 [0,0,0,1620,21168] 2 [52:496:1]
10944c (2 curves)	1	2+ 3+ 19+	2+ 3+  2 -4  6  4  0 19+
Curve Equation t Generators 10944c1 [0,0,0,-84,288] 2 [-6:24:1] 10944c2 [0,0,0,-204,-720] 2 [-8:20:1]
10944d (2 curves)	1	2+ 3+ 19+	2+ 3+ -2 -4 -6  4  0 19+
Curve Equation t Generators 10944d1 [0,0,0,-756,-7776] 2 [-14:8:1] 10944d2 [0,0,0,-1836,19440] 2 [-18:216:1]
10944e (2 curves)	0	2+ 3+ 19-	2+ 3+  2  0  2  4  0 19-
Curve Equation t 10944e1 [0,0,0,-204,112] 2 10944e2 [0,0,0,-2124,-37520] 2
10944f (2 curves)	0	2+ 3+ 19-	2+ 3+  2  4 -6  4  0 19-
Curve Equation t 10944f1 [0,0,0,-84,-288] 2 10944f2 [0,0,0,-204,720] 2
10944g (2 curves)	0	2+ 3+ 19-	2+ 3+ -2  0 -2  4  0 19-
Curve Equation t 10944g1 [0,0,0,-1836,-3024] 2 10944g2 [0,0,0,-19116,1013040] 2
10944h (2 curves)	0	2+ 3+ 19-	2+ 3+ -2  4  6  4  0 19-
Curve Equation t 10944h1 [0,0,0,-756,7776] 2 10944h2 [0,0,0,-1836,-19440] 2
10944i (2 curves)	0	2+ 3+ 19-	2+ 3+  4  0 -6 -2 -4 19-
Curve Equation t 10944i1 [0,0,0,-648,7560] 2 10944i2 [0,0,0,-10908,438480] 2
10944j (2 curves)	0	2+ 3+ 19-	2+ 3+ -4  0  6 -2  4 19-
Curve Equation t 10944j1 [0,0,0,-72,-280] 2 10944j2 [0,0,0,-1212,-16240] 2
10944k (2 curves)	0	2+ 3- 19+	2+ 3-  0  0  0  0  2 19+
Curve Equation t 10944k1 [0,0,0,-660,-6496] 2 10944k2 [0,0,0,-300,-13552] 2
10944l (3 curves)	0	2+ 3- 19+	2+ 3-  0 -1 -6 -5 -3 19+
Curve Equation t 10944l1 [0,0,0,-8940,-325456] 1 10944l2 [0,0,0,5460,-1236688] 1 10944l3 [0,0,0,-49260,33849776] 1
10944m (1 curve)	0	2+ 3- 19+	2+ 3-  0  3  2 -1  5 19+
Curve Equation t 10944m1 [0,0,0,-300,2864] 1
10944n (2 curves)	0	2+ 3- 19+	2+ 3-  0  4  4  0  2 19+
Curve Equation t 10944n1 [0,0,0,-55020,4966576] 2 10944n2 [0,0,0,-49260,6047152] 2
10944o (4 curves)	0	2+ 3- 19+	2+ 3-  0 -4  0  4 -6 19+
Curve Equation t 10944o1 [0,0,0,-4620,-9232] 2 10944o2 [0,0,0,18420,-73744] 2 10944o3 [0,0,0,-246540,47116784] 2 10944o4 [0,0,0,-240780,49423088] 2
10944p (1 curve)	0	2+ 3- 19+	2+ 3-  1 -3 -5  2  1 19+
Curve Equation t 10944p1 [0,0,0,1968,-24032] 1
10944q (1 curve)	0	2+ 3- 19+	2+ 3- -1 -1  3  4  3 19+
Curve Equation t 10944q1 [0,0,0,-18,-54] 1
10944r (1 curve)	0	2+ 3- 19+	2+ 3- -1 -1 -5 -4  3 19+
Curve Equation t 10944r1 [0,0,0,-3378,-102814] 1
10944s (4 curves)	0	2+ 3- 19+	2+ 3- -2  4 -4 -2 -2 19+
Curve Equation t 10944s1 [0,0,0,-471,1420] 2 10944s2 [0,0,0,-4116,-100640] 4 10944s3 [0,0,0,-65676,-6478256] 2 10944s4 [0,0,0,-876,-254864] 2
10944t (3 curves)	0	2+ 3- 19+	2+ 3-  3 -1  3  4  3 19+
Curve Equation t 10944t1 [0,0,0,24,2] 1 10944t2 [0,0,0,-336,2522] 1 10944t3 [0,0,0,-27696,1774082] 1
10944u (1 curve)	0	2+ 3- 19+	2+ 3-  3  3  3  0 -1 19+
Curve Equation t 10944u1 [0,0,0,-2586,50618] 1
10944v (1 curve)	0	2+ 3- 19+	2+ 3- -3  1 -5  6  5 19+
Curve Equation t 10944v1 [0,0,0,96,-2144] 1
10944w (1 curve)	0	2+ 3- 19+	2+ 3- -3 -3 -1  2  5 19+
Curve Equation t 10944w1 [0,0,0,-2064,-41056] 1
10944x (2 curves)	0	2+ 3- 19+	2+ 3-  4  4 -4  4 -6 19+
Curve Equation t 10944x1 [0,0,0,-588,-4880] 2 10944x2 [0,0,0,852,-25040] 2
10944y (2 curves)	1	2+ 3- 19-	2+ 3-  0  0  0  0  2 19-
Curve Equation t Generators 10944y1 [0,0,0,-660,6496] 2 [2:72:1] 10944y2 [0,0,0,-300,13552] 2 [8:108:1]
10944z (2 curves)	1	2+ 3- 19-	2+ 3-  1  3 -3  6 -3 19-
Curve Equation t Generators 10944z1 [0,0,0,708,8282] 1 [91:909:1] 10944z2 [0,0,0,-158052,24185162] 1 [91:3249:1]
10944ba (1 curve)	1	2+ 3- 19-	2+ 3- -1  1 -3  4  3 19-
Curve Equation t Generators 10944ba1 [0,0,0,-18,54] 1 [-3:9:1]
10944bb (1 curve)	1	2+ 3- 19-	2+ 3- -1  1  5 -4  3 19-
Curve Equation t Generators 10944bb1 [0,0,0,-3378,102814] 1 [29:171:1]
10944bc (1 curve)	1	2+ 3- 19-	2+ 3- -1 -3 -3  4 -5 19-
Curve Equation t Generators 10944bc1 [0,0,0,-48,-736] 1 [25:117:1]
10944bd (1 curve)	1	2+ 3- 19-	2+ 3- -1 -3  5  4  3 19-
Curve Equation t Generators 10944bd1 [0,0,0,-768,8224] 1 [17:9:1]
10944be (4 curves)	1	2+ 3- 19-	2+ 3-  2  0  0 -2 -2 19-
Curve Equation t Generators 10944be1 [0,0,0,-6204,188048] 2 [-26:576:1] 10944be2 [0,0,0,-6924,141680] 4 [-28:560:1] 10944be3 [0,0,0,-45804,-3668560] 2 [772:20520:1] 10944be4 [0,0,0,20436,984368] 2 [10180:223216:125]
10944bf (2 curves)	1	2+ 3- 19-	2+ 3-  2  0  2 -2 -6 19-
Curve Equation t Generators 10944bf1 [0,0,0,96,-4088] 2 [114:1220:1] 10944bf2 [0,0,0,-3324,-71120] 2 [-30:40:1]
10944bg (4 curves)	1	2+ 3- 19-	2+ 3-  2  0 -4 -2  6 19-
Curve Equation t Generators 10944bg1 [0,0,0,-202764,31576048] 2 [-364:7560:1] 10944bg2 [0,0,0,-3151884,2153762800] 4 [446020:23827608:125] 10944bg3 [0,0,0,-50429964,137841852400] 2 [12293709606850:10874936295:2998442888] 10944bg4 [0,0,0,-3059724,2285625328] 2 [749:20349:1]
10944bh (4 curves)	1	2+ 3- 19-	2+ 3- -2  0  0 -6  6 19-
Curve Equation t Generators 10944bh1 [0,0,0,-876,8624] 2 [-10:128:1] 10944bh2 [0,0,0,-3756,-80080] 4 [-28:56:1] 10944bh3 [0,0,0,-58476,-5442640] 2 [6818:189945:8] 10944bh4 [0,0,0,4884,-394576] 2 [109:1197:1]
10944bi (4 curves)	1	2+ 3- 19-	2+ 3- -2 -4  4 -2 -2 19-
Curve Equation t Generators 10944bi1 [0,0,0,-471,-1420] 2 [-4:20:1] 10944bi2 [0,0,0,-4116,100640] 4 [2:304:1] 10944bi3 [0,0,0,-65676,6478256] 2 [164:344:1] 10944bi4 [0,0,0,-876,254864] 2 [-11:513:1]
10944bj (1 curve)	1	2+ 3- 19-	2+ 3-  3 -3 -3  0 -1 19-
Curve Equation t Generators 10944bj1 [0,0,0,-2586,-50618] 1 [4373:289161:1]
10944bk (1 curve)	1	2+ 3- 19-	2+ 3- -3 -5  1 -2  1 19-
Curve Equation t Generators 10944bk1 [0,0,0,-84,-326] 1 [11:9:1]
10944bl (2 curves)	1	2+ 3- 19-	2+ 3- -4  3  2  1 -3 19-
Curve Equation t Generators 10944bl1 [0,0,0,-12,-16400] 1 [126:1408:1] 10944bl2 [0,0,0,-40332,3451120] 1 [126:608:1]
10944bm (2 curves)	0	2- 3+ 19+	2- 3+  2  0 -2  4  0 19+
Curve Equation t 10944bm1 [0,0,0,-204,-112] 2 10944bm2 [0,0,0,-2124,37520] 2
10944bn (2 curves)	0	2- 3+ 19+	2- 3+ -2  0  2  4  0 19+
Curve Equation t 10944bn1 [0,0,0,-1836,3024] 2 10944bn2 [0,0,0,-19116,-1013040] 2
10944bo (2 curves)	0	2- 3+ 19+	2- 3+  4  0  6 -2 -4 19+
Curve Equation t 10944bo1 [0,0,0,-648,-7560] 2 10944bo2 [0,0,0,-10908,-438480] 2
10944bp (2 curves)	2	2- 3+ 19+	2- 3+ -4  0 -6 -2  4 19+
Curve Equation t Generators 10944bp1 [0,0,0,-72,280] 2 [-7:21:1]&[2:12:1] 10944bp2 [0,0,0,-1212,16240] 2 [-30:160:1]&[8:84:1]
10944bq (2 curves)	1	2- 3+ 19-	2- 3+  0  0  2  2  4 19-
Curve Equation t Generators 10944bq1 [0,0,0,-540,-3024] 2 [-8:28:1] 10944bq2 [0,0,0,1620,-21168] 2 [208:3052:1]
10944br (2 curves)	1	2- 3+ 19-	2- 3+  0  0 -2  2 -4 19-
Curve Equation t Generators 10944br1 [0,0,0,-60,112] 2 [-6:16:1] 10944br2 [0,0,0,180,784] 2 [0:28:1]
10944bs (1 curve)	1	2- 3- 19+	2- 3-  0  1 -2  1 -3 19+
Curve Equation t Generators 10944bs1 [0,0,0,180,432] 1 [-2:8:1]
10944bt (2 curves)	1	2- 3- 19+	2- 3-  1 -3  3  6 -3 19+
Curve Equation t Generators 10944bt1 [0,0,0,708,-8282] 1 [143:1737:1] 10944bt2 [0,0,0,-158052,-24185162] 1 [999908359325:-23897380164309:1242296875]
10944bu (1 curve)	1	2- 3- 19+	2- 3- -1 -1  3  0  7 19+
Curve Equation t Generators 10944bu1 [0,0,0,42,394] 1 [5:27:1]
10944bv (1 curve)	1	2- 3- 19+	2- 3- -1  3  3  4 -5 19+
Curve Equation t Generators 10944bv1 [0,0,0,-48,736] 1 [-7:27:1]
10944bw (1 curve)	1	2- 3- 19+	2- 3- -1  3 -5  4  3 19+
Curve Equation t Generators 10944bw1 [0,0,0,-768,-8224] 1 [505:11331:1]
10944bx (4 curves)	1	2- 3- 19+	2- 3-  2  0  0 -2 -2 19+
Curve Equation t Generators 10944bx1 [0,0,0,-6204,-188048] 2 [104:540:1] 10944bx2 [0,0,0,-6924,-141680] 4 [1517:58995:1] 10944bx3 [0,0,0,-45804,3668560] 2 [-22:2160:1] 10944bx4 [0,0,0,20436,-984368] 2 [40863:1596545:27]
10944by (2 curves)	1	2- 3- 19+	2- 3-  2  0 -2 -2 -6 19+
Curve Equation t Generators 10944by1 [0,0,0,96,4088] 2 [34:216:1] 10944by2 [0,0,0,-3324,71120] 2 [-20:360:1]
10944bz (4 curves)	1	2- 3- 19+	2- 3-  2  0  4 -2  6 19+
Curve Equation t Generators 10944bz1 [0,0,0,-202764,-31576048] 2 [-65205856:-183293892:205379] 10944bz2 [0,0,0,-3151884,-2153762800] 4 [138940623751233910:-5138121502174611456:49978362482875] 10944bz3 [0,0,0,-50429964,-137841852400] 2 [-43388639260013107250044341116564000:-1667201094700750325482330481260:10582599626692245366454362590369] 10944bz4 [0,0,0,-3059724,-2285625328] 2 [60433237810:2761793428608:18609625]
10944ca (2 curves)	1	2- 3- 19+	2- 3-  2  4 -6  2 -6 19+
Curve Equation t Generators 10944ca1 [0,0,0,-219,-1240] 2 [1252:2835:64] 10944ca2 [0,0,0,-84,-2752] 2 [64:504:1]
10944cb (4 curves)	1	2- 3- 19+	2- 3- -2  0  0 -6  6 19+
Curve Equation t Generators 10944cb1 [0,0,0,-876,-8624] 2 [-16:36:1] 10944cb2 [0,0,0,-3756,80080] 4 [-6:320:1] 10944cb3 [0,0,0,-58476,5442640] 2 [-22:2592:1] 10944cb4 [0,0,0,4884,394576] 2 [48:860:1]
10944cc (1 curve)	1	2- 3- 19+	2- 3-  3 -5 -5  4  3 19+
Curve Equation t Generators 10944cc1 [0,0,0,-126,16362] 1 [-27:9:1]
10944cd (1 curve)	1	2- 3- 19+	2- 3- -3  5 -1 -2  1 19+
Curve Equation t Generators 10944cd1 [0,0,0,-84,326] 1 [7:9:1]
10944ce (2 curves)	1	2- 3- 19+	2- 3- -4 -3 -2  1 -3 19+
Curve Equation t Generators 10944ce1 [0,0,0,-12,16400] 1 [2:128:1] 10944ce2 [0,0,0,-40332,-3451120] 1 [290:3040:1]
10944cf (3 curves)	0	2- 3- 19-	2- 3-  0  1  6 -5 -3 19-
Curve Equation t 10944cf1 [0,0,0,-8940,325456] 1 10944cf2 [0,0,0,5460,1236688] 1 10944cf3 [0,0,0,-49260,-33849776] 1
10944cg (1 curve)	0	2- 3- 19-	2- 3-  0 -1  2  1 -3 19-
Curve Equation t 10944cg1 [0,0,0,180,-432] 1
10944ch (1 curve)	0	2- 3- 19-	2- 3-  0 -3 -2 -1  5 19-
Curve Equation t 10944ch1 [0,0,0,-300,-2864] 1
10944ci (4 curves)	0	2- 3- 19-	2- 3-  0  4  0  4 -6 19-
Curve Equation t 10944ci1 [0,0,0,-4620,9232] 2 10944ci2 [0,0,0,18420,73744] 2 10944ci3 [0,0,0,-246540,-47116784] 2 10944ci4 [0,0,0,-240780,-49423088] 2
10944cj (2 curves)	0	2- 3- 19-	2- 3-  0 -4 -4  0  2 19-
Curve Equation t 10944cj1 [0,0,0,-55020,-4966576] 2 10944cj2 [0,0,0,-49260,-6047152] 2
10944ck (1 curve)	0	2- 3- 19-	2- 3-  1  3  5  2  1 19-
Curve Equation t 10944ck1 [0,0,0,1968,24032] 1
10944cl (1 curve)	0	2- 3- 19-	2- 3- -1  1 -3  0  7 19-
Curve Equation t 10944cl1 [0,0,0,42,-394] 1
10944cm (2 curves)	0	2- 3- 19-	2- 3-  2 -4  6  2 -6 19-
Curve Equation t 10944cm1 [0,0,0,-219,1240] 2 10944cm2 [0,0,0,-84,2752] 2
10944cn (3 curves)	0	2- 3- 19-	2- 3-  3  1 -3  4  3 19-
Curve Equation t 10944cn1 [0,0,0,24,-2] 1 10944cn2 [0,0,0,-336,-2522] 1 10944cn3 [0,0,0,-27696,-1774082] 1
10944co (1 curve)	0	2- 3- 19-	2- 3-  3  5  5  4  3 19-
Curve Equation t 10944co1 [0,0,0,-126,-16362] 1
10944cp (1 curve)	0	2- 3- 19-	2- 3- -3 -1  5  6  5 19-
Curve Equation t 10944cp1 [0,0,0,96,2144] 1
10944cq (1 curve)	0	2- 3- 19-	2- 3- -3  3  1  2  5 19-
Curve Equation t 10944cq1 [0,0,0,-2064,41056] 1
10944cr (2 curves)	0	2- 3- 19-	2- 3-  4 -4  4  4 -6 19-
Curve Equation t 10944cr1 [0,0,0,-588,4880] 2 10944cr2 [0,0,0,852,25040] 2

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