Cremona's table of elliptic curves

106950 = 2 · 3 · 5² · 23 · 31

Class	r	Atkin-Lehner	Eigenvalues
106950a (1 curve)	1	2+ 3+ 5+ 23+ 31+	2+ 3+ 5+ -1  3 -1  4 -4
Curve Equation t Generators 106950a1 [1,1,0,-1460,-22320] 1 [149:1685:1]
106950b (1 curve)	1	2+ 3+ 5+ 23+ 31+	2+ 3+ 5+  3  5 -3  0  4
Curve Equation t Generators 106950b1 [1,1,0,-1050,27180] 1 [-39:123:1]
106950c (1 curve)	0	2+ 3+ 5+ 23+ 31-	2+ 3+ 5+  0 -3  5 -1 -1
Curve Equation t 106950c1 [1,1,0,-3492400,-3441056000] 1
106950d (1 curve)	0	2+ 3+ 5+ 23+ 31-	2+ 3+ 5+  3  3  2  2 -4
Curve Equation t 106950d1 [1,1,0,-8400,288000] 1
106950e (2 curves)	2	2+ 3+ 5+ 23+ 31-	2+ 3+ 5+  4 -4 -4 -4 -6
Curve Equation t Generators 106950e1 [1,1,0,-395525,370125] 2 [-3490:77695:8]&[-405:9915:1] 106950e2 [1,1,0,-4363525,3496178125] 2 [-1475:82750:1]&[-150:64475:1]
106950f (1 curve)	2	2+ 3+ 5+ 23+ 31-	2+ 3+ 5+ -5 -1  5  2  6
Curve Equation t Generators 106950f1 [1,1,0,45,-45] 1 [9:30:1]&[21:93:1]
106950g (1 curve)	0	2+ 3+ 5+ 23- 31+	2+ 3+ 5+  0  4  5 -4  3
Curve Equation t 106950g1 [1,1,0,-471655,129687085] 1
106950h (1 curve)	0	2+ 3+ 5+ 23- 31+	2+ 3+ 5+ -1  3  1  0  2
Curve Equation t 106950h1 [1,1,0,-30325,-7797875] 1
106950i (1 curve)	0	2+ 3+ 5+ 23- 31+	2+ 3+ 5+ -1 -3  5  0 -8
Curve Equation t 106950i1 [1,1,0,-594700,-176782250] 1
106950j (4 curves)	0	2+ 3+ 5+ 23- 31+	2+ 3+ 5+ -4  0  2 -6  4
Curve Equation t 106950j1 [1,1,0,211000,-17400000] 2 106950j2 [1,1,0,-941000,-147576000] 4 106950j3 [1,1,0,-7841000,8346324000] 2 106950j4 [1,1,0,-12473000,-16949700000] 2
106950k (4 curves)	0	2+ 3+ 5+ 23- 31+	2+ 3+ 5+ -4 -4 -2  6 -4
Curve Equation t 106950k1 [1,1,0,-8866250,9664492500] 2 106950k2 [1,1,0,-139938250,637106156500] 4 106950k3 [1,1,0,-138018250,655440236500] 2 106950k4 [1,1,0,-2239010250,40777660012500] 2
106950l (1 curve)	1	2+ 3+ 5+ 23- 31-	2+ 3+ 5+ -1 -5 -3  2  6
Curve Equation t Generators 106950l1 [1,1,0,-187825,110327125] 1 [391:9646:1]
106950m (2 curves)	1	2+ 3+ 5+ 23- 31-	2+ 3+ 5+  2  0 -4 -2  4
Curve Equation t Generators 106950m1 [1,1,0,3100,0] 2 [31:-372:1] 106950m2 [1,1,0,-12400,-15500] 2 [-30:590:1]
106950n (4 curves)	1	2+ 3+ 5+ 23- 31-	2+ 3+ 5+  4 -6 -2 -6  2
Curve Equation t Generators 106950n1 [1,1,0,131375,15767125] 2 [670:41515:8] 106950n2 [1,1,0,-705625,143828125] 2 [7582:140983:8] 106950n3 [1,1,0,-1331125,-837770375] 2 [2165:79130:1] 106950n4 [1,1,0,-23674375,-44340078125] 2 [7931:512603:1]
106950o (1 curve)	2	2+ 3+ 5- 23+ 31+	2+ 3+ 5- -2  0 -2 -3  8
Curve Equation t Generators 106950o1 [1,1,0,-1625450,796966500] 1 [-1340:24570:1]&[760:770:1]
106950p (1 curve)	1	2+ 3+ 5- 23+ 31-	2+ 3+ 5-  1  5  1  6 -4
Curve Equation t Generators 106950p1 [1,1,0,5896050,-3825463500] 1 [5844990:477043437:1000]
106950q (6 curves)	0	2+ 3- 5+ 23+ 31+	2+ 3- 5+  0 -4  2  6 -4
Curve Equation t 106950q1 [1,0,1,-128251,17667398] 2 106950q2 [1,0,1,-130251,17087398] 4 106950q3 [1,0,1,102249,71492398] 2 106950q4 [1,0,1,-394751,-74429602] 4 106950q5 [1,0,1,898999,-459967102] 2 106950q6 [1,0,1,-5920501,-5544922102] 2
106950r (1 curve)	0	2+ 3- 5+ 23+ 31+	2+ 3- 5+  1 -1  6 -6 -4
Curve Equation t 106950r1 [1,0,1,-376,-2602] 1
106950s (2 curves)	0	2+ 3- 5+ 23+ 31+	2+ 3- 5+ -2  2 -2  0  8
Curve Equation t 106950s1 [1,0,1,-47751,4097398] 2 106950s2 [1,0,1,-768501,259242898] 2
106950t (1 curve)	0	2+ 3- 5+ 23+ 31+	2+ 3- 5+  3  5 -7  0  8
Curve Equation t 106950t1 [1,0,1,1509049,39448298] 1
106950u (4 curves)	0	2+ 3- 5+ 23+ 31+	2+ 3- 5+  4  4  2  2  8
Curve Equation t 106950u1 [1,0,1,-5476,-95902] 2 106950u2 [1,0,1,-37476,2720098] 4 106950u3 [1,0,1,8524,8976098] 2 106950u4 [1,0,1,-595476,176816098] 2
106950v (1 curve)	0	2+ 3- 5+ 23+ 31+	2+ 3- 5+  4 -4  7  0  5
Curve Equation t 106950v1 [1,0,1,-121,-772] 1
106950w (1 curve)	0	2+ 3- 5+ 23+ 31+	2+ 3- 5+  5 -3 -1  6  3
Curve Equation t 106950w1 [1,0,1,-2273451,1310875798] 1
106950x (2 curves)	1	2+ 3- 5+ 23+ 31-	2+ 3- 5+  2  2  6 -4 -4
Curve Equation t Generators 106950x1 [1,0,1,-245276,-192867802] 2 [903:17497:1] 106950x2 [1,0,1,-6732026,-6705564802] 2 [7878:651199:1]
106950y (2 curves)	1	2+ 3- 5+ 23+ 31-	2+ 3- 5+  2  2 -6  2 -4
Curve Equation t Generators 106950y1 [1,0,1,-188376,32447398] 2 [233:-1221:1] 106950y2 [1,0,1,-3040376,2040255398] 2 [-1338:61606:1]
106950z (1 curve)	1	2+ 3- 5+ 23- 31+	2+ 3- 5+  0  0  1  6  3
Curve Equation t Generators 106950z1 [1,0,1,1999,-1852] 1 [107:1146:1]
106950ba (1 curve)	1	2+ 3- 5+ 23- 31+	2+ 3- 5+  3 -3  2 -2  4
Curve Equation t Generators 106950ba1 [1,0,1,-773151,-261594302] 1 [-517:312:1]
106950bb (1 curve)	2	2+ 3- 5+ 23- 31-	2+ 3- 5+ -1 -1 -5 -2  1
Curve Equation t Generators 106950bb1 [1,0,1,-616,938] 1 [-202:283:8]&[-17:89:1]
106950bc (1 curve)	0	2+ 3- 5+ 23- 31-	2+ 3- 5+  3 -3  3 -2 -6
Curve Equation t 106950bc1 [1,0,1,-27173451,54522775798] 1
106950bd (4 curves)	2	2+ 3- 5+ 23- 31-	2+ 3- 5+ -4 -4 -2 -2  4
Curve Equation t Generators 106950bd1 [1,0,1,-2046001,1133950148] 2 [726:246083:8]&[651:8506:1] 106950bd2 [1,0,1,-32798001,72294078148] 4 [-4288:368331:1]&[3323:-3318:1] 106950bd3 [1,0,1,-32860001,72007018148] 2 [2511:-74258:1]&[-5953:241026:1] 106950bd4 [1,0,1,-524768001,4626952338148] 2 [13282:4571:1]&[38032:6280196:1]
106950be (1 curve)	1	2+ 3- 5- 23+ 31+	2+ 3- 5- -3  4 -2  1  0
Curve Equation t Generators 106950be1 [1,0,1,-101,2648] 1 [-12:52:1]
106950bf (2 curves)	1	2+ 3- 5- 23+ 31+	2+ 3- 5- -4  4  6 -6 -4
Curve Equation t Generators 106950bf1 [1,0,1,2250549,3649927798] 2 [911:-80808:1] 106950bf2 [1,0,1,-26269451,46486967798] 2 [-5448:169786:1]
106950bg (1 curve)	0	2+ 3- 5- 23+ 31-	2+ 3- 5-  4 -2  5  0  1
Curve Equation t 106950bg1 [1,0,1,-43701,136810048] 1
106950bh (1 curve)	1	2+ 3- 5- 23- 31-	2+ 3- 5-  1 -1 -1 -6 -3
Curve Equation t Generators 106950bh1 [1,0,1,-277451,52876298] 1 [393:1942:1]
106950bi (1 curve)	0	2- 3+ 5+ 23+ 31+	2- 3+ 5+ -1 -3  2  2 -4
Curve Equation t 106950bi1 [1,1,1,-1188,4281] 1
106950bj (2 curves)	0	2- 3+ 5+ 23+ 31+	2- 3+ 5+  2  0  2 -4  2
Curve Equation t 106950bj1 [1,1,1,-2004538,9867673031] 2 106950bj2 [1,1,1,-82356538,285957145031] 2
106950bk (2 curves)	0	2- 3+ 5+ 23+ 31+	2- 3+ 5+ -2  4  2  0 -6
Curve Equation t 106950bk1 [1,1,1,-148788,-22158219] 2 106950bk2 [1,1,1,-2380788,-1414926219] 2
106950bl (1 curve)	0	2- 3+ 5+ 23+ 31+	2- 3+ 5+  4  1 -1  3  3
Curve Equation t 106950bl1 [1,1,1,-8188,283781] 1
106950bm (2 curves)	1	2- 3+ 5+ 23+ 31-	2- 3+ 5+  1  3 -2  6 -4
Curve Equation t Generators 106950bm1 [1,1,1,-134506163,600372567281] 1 [6659:1838:1] 106950bm2 [1,1,1,-144364538,507277681031] 1 [1001:602635:1]
106950bn (1 curve)	1	2- 3+ 5+ 23+ 31-	2- 3+ 5+ -1 -1  1  6 -3
Curve Equation t Generators 106950bn1 [1,1,1,-11098,418571] 1 [41:165:1]
106950bo (2 curves)	1	2- 3+ 5+ 23+ 31-	2- 3+ 5+  2  2  2  2  4
Curve Equation t Generators 106950bo1 [1,1,1,32062,1163531] 2 [-2515510:56141087:97336] 106950bo2 [1,1,1,-146188,9719531] 2 [47057045730:2889330041411:12167000]
106950bp (2 curves)	1	2- 3+ 5+ 23+ 31-	2- 3+ 5+ -4  2 -2  6 -6
Curve Equation t Generators 106950bp1 [1,1,1,1951812,-3856725219] 2 [5539:417863:1] 106950bp2 [1,1,1,-28180188,-53032149219] 2 [186753:7686301:27]
106950bq (2 curves)	1	2- 3+ 5+ 23+ 31-	2- 3+ 5+ -4 -2 -2  6  6
Curve Equation t Generators 106950bq1 [1,1,1,-1538,-24469] 2 [261:4045:1] 106950bq2 [1,1,1,-24788,-1512469] 2 [61026:781495:216]
106950br (2 curves)	1	2- 3+ 5+ 23+ 31-	2- 3+ 5+ -4 -2 -2 -6  6
Curve Equation t Generators 106950br1 [1,1,1,-5518088,5022054281] 2 [485:49357:1] 106950br2 [1,1,1,-88462088,320209254281] 2 [5421:-1595:1]
106950bs (1 curve)	1	2- 3+ 5+ 23+ 31-	2- 3+ 5+ -4 -4  5  2  1
Curve Equation t Generators 106950bs1 [1,1,1,-3414563,-2440502719] 1 [24270:972011:8]
106950bt (1 curve)	1	2- 3+ 5+ 23- 31+	2- 3+ 5+  3  4  2 -1  0
Curve Equation t Generators 106950bt1 [1,1,1,-2513,331031] 1 [281:4540:1]
106950bu (2 curves)	0	2- 3+ 5+ 23- 31-	2- 3+ 5+  2  4  6 -4 -6
Curve Equation t 106950bu1 [1,1,1,-13838,-1068469] 2 106950bu2 [1,1,1,-261838,-51660469] 2
106950bv (4 curves)	0	2- 3+ 5+ 23- 31-	2- 3+ 5+ -2  0 -2  0  2
Curve Equation t 106950bv1 [1,1,1,72896062,-702645553969] 2 106950bv2 [1,1,1,-880415938,-9065098417969] 2 106950bv3 [1,1,1,-4332688313,-109893892078969] 2 106950bv4 [1,1,1,-69344400313,-7028570306542969] 2
106950bw (1 curve)	0	2- 3+ 5- 23+ 31-	2- 3+ 5-  1 -1  5  2  1
Curve Equation t 106950bw1 [1,1,1,-15388,117281] 1
106950bx (1 curve)	2	2- 3+ 5- 23+ 31-	2- 3+ 5- -3 -3 -3  2 -6
Curve Equation t Generators 106950bx1 [1,1,1,-1086938,435747431] 1 [-1155:12907:1]&[-775:28907:1]
106950by (1 curve)	0	2- 3+ 5- 23- 31+	2- 3+ 5- -3  5  7  0  8
Curve Equation t 106950by1 [1,1,1,60362,339731] 1
106950bz (2 curves)	0	2- 3+ 5- 23- 31+	2- 3+ 5-  4  4 -6  6 -4
Curve Equation t 106950bz1 [1,1,1,90022,29235431] 2 106950bz2 [1,1,1,-1050778,371475431] 2
106950ca (1 curve)	0	2- 3+ 5- 23- 31+	2- 3+ 5- -4 -4 -7  0  5
Curve Equation t 106950ca1 [1,1,1,-3013,-96469] 1
106950cb (1 curve)	2	2- 3+ 5- 23- 31+	2- 3+ 5- -5 -3  1 -6  3
Curve Equation t Generators 106950cb1 [1,1,1,-90938,10450631] 1 [-335:2027:1]&[-255:4267:1]
106950cc (1 curve)	1	2- 3+ 5- 23- 31-	2- 3+ 5- -4 -2 -5  0  1
Curve Equation t Generators 106950cc1 [1,1,1,-1748,1093781] 1 [15:-1043:1]
106950cd (2 curves)	1	2- 3- 5+ 23+ 31+	2- 3- 5+ -2  0 -2  4  2
Curve Equation t Generators 106950cd1 [1,0,0,-1438,215492] 2 [32:434:1] 106950cd2 [1,0,0,-63438,6105492] 2 [42:1854:1]
106950ce (1 curve)	0	2- 3- 5+ 23+ 31-	2- 3- 5+  4 -4  1  2 -7
Curve Equation t 106950ce1 [1,0,0,-3188,87492] 1
106950cf (2 curves)	0	2- 3- 5+ 23+ 31-	2- 3- 5+  4  6  6  2 -2
Curve Equation t 106950cf1 [1,0,0,-908563,-17273660383] 2 106950cf2 [1,0,0,-105884563,-414397868383] 2
106950cg (1 curve)	0	2- 3- 5+ 23- 31+	2- 3- 5+  2  0  2  3  8
Curve Equation t 106950cg1 [1,0,0,-65018,6375732] 1
106950ch (2 curves)	1	2- 3- 5+ 23- 31-	2- 3- 5+  0 -4  4  0 -2
Curve Equation t Generators 106950ch1 [1,0,0,-1213,8417] 2 [254:245:8] 106950ch2 [1,0,0,-16713,829917] 2 [42:429:1]
106950ci (1 curve)	1	2- 3- 5+ 23- 31-	2- 3- 5+ -1  5 -1 -6 -4
Curve Equation t Generators 106950ci1 [1,0,0,235842,-30603708] 1 [138:2070:1]
106950cj (2 curves)	1	2- 3- 5+ 23- 31-	2- 3- 5+  2  0  2  0 -6
Curve Equation t Generators 106950cj1 [1,0,0,-321742788,-2221348205808] 2 [27408:3076500:1] 106950cj2 [1,0,0,-5147884788,-142164987779808] 2 [171558:63349242:1]
106950ck (1 curve)	1	2- 3- 5+ 23- 31-	2- 3- 5+  2 -5 -3 -5 -1
Curve Equation t Generators 106950ck1 [1,0,0,-137038,38610692] 1 [188:-4510:1]
106950cl (2 curves)	1	2- 3- 5+ 23- 31-	2- 3- 5+ -2  0 -6 -4 -2
Curve Equation t Generators 106950cl1 [1,0,0,-30863,3620217] 2 [382:6709:1] 106950cl2 [1,0,0,-588863,173810217] 2 [568:-5045:1]
106950cm (1 curve)	0	2- 3- 5- 23+ 31+	2- 3- 5-  0  4 -5  4  3
Curve Equation t 106950cm1 [1,0,0,-11791388,16234468392] 1
106950cn (1 curve)	0	2- 3- 5- 23+ 31+	2- 3- 5-  1  3 -1  0  2
Curve Equation t 106950cn1 [1,0,0,-1213,-62383] 1
106950co (1 curve)	0	2- 3- 5- 23+ 31+	2- 3- 5-  1 -3 -5  0 -8
Curve Equation t 106950co1 [1,0,0,-23788,-1414258] 1
106950cp (1 curve)	1	2- 3- 5- 23+ 31-	2- 3- 5-  1 -5  3 -2  6
Curve Equation t Generators 106950cp1 [1,0,0,-7513,882617] 1 [-28:1049:1]
106950cq (1 curve)	1	2- 3- 5- 23- 31+	2- 3- 5-  1  3  1 -4 -4
Curve Equation t Generators 106950cq1 [1,0,0,-36513,-2716983] 1 [402:-7101:1]
106950cr (1 curve)	1	2- 3- 5- 23- 31+	2- 3- 5- -3  5  3  0  4
Curve Equation t Generators 106950cr1 [1,0,0,-26263,3450017] 1 [152:1649:1]
106950cs (1 curve)	0	2- 3- 5- 23- 31-	2- 3- 5-  5 -1 -5 -2  6
Curve Equation t 106950cs1 [1,0,0,1112,-7858] 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