Cremona's table of elliptic curves

124215 = 3 · 5 · 7² · 13²

Class	r	Atkin-Lehner	Eigenvalues
124215a (2 curves)	0	3+ 5+ 7- 13+	0 3+ 5+ 7-  0 13+ -6  5
Curve Equation t 124215a1 [0,-1,1,789,16967] 1 124215a2 [0,-1,1,-34701,2504816] 1
124215b (1 curve)	0	3+ 5+ 7- 13+	0 3+ 5+ 7-  0 13+  7 -8
Curve Equation t 124215b1 [0,-1,1,110670439,-25692592339] 1
124215c (1 curve)	0	3+ 5+ 7- 13+	0 3+ 5+ 7-  1 13+ -7 -4
Curve Equation t 124215c1 [0,-1,1,-147412841,-689851888048] 1
124215d (1 curve)	2	3+ 5+ 7- 13+	0 3+ 5+ 7- -3 13+ -1  0
Curve Equation t Generators 124215d1 [0,-1,1,-1941,34166] 1 [26:24:1]&[96:850:1]
124215e (1 curve)	0	3+ 5+ 7- 13+	0 3+ 5+ 7- -5 13+  2  2
Curve Equation t 124215e1 [0,-1,1,-2164101,27936861266] 1
124215f (2 curves)	0	3+ 5+ 7- 13+	0 3+ 5+ 7- -6 13+  0 -4
Curve Equation t 124215f1 [0,-1,1,14439,-351583] 1 124215f2 [0,-1,1,-157551,29763866] 1
124215g (4 curves)	0	3+ 5+ 7- 13+	1 3+ 5+ 7-  4 13+ -2  0
Curve Equation t 124215g1 [1,1,0,-8455073,9367068768] 2 124215g2 [1,1,0,-15452518,-8391047153] 4 124215g3 [1,1,0,57213257,-64677956468] 2 124215g4 [1,1,0,-200077413,-1088483607882] 2
124215h (4 curves)	0	3+ 5+ 7- 13+	-1 3+ 5+ 7-  0 13+ -2  4
Curve Equation t 124215h1 [1,1,1,53654,-5033722] 2 124215h2 [1,1,1,-318991,-48707716] 4 124215h3 [1,1,1,-1933786,996387608] 2 124215h4 [1,1,1,-4666516,-3881485756] 2
124215i (2 curves)	0	3+ 5+ 7- 13+	-1 3+ 5+ 7-  0 13+  4  2
Curve Equation t 124215i1 [1,1,1,-5496,-124272] 2 124215i2 [1,1,1,-82391,-9136366] 2
124215j (2 curves)	0	3+ 5+ 7- 13+	-1 3+ 5+ 7-  2 13+  0 -1
Curve Equation t 124215j1 [1,1,1,-491,-4516] 1 124215j2 [1,1,1,-7316,636488] 1
124215k (4 curves)	0	3+ 5+ 7- 13+	-1 3+ 5+ 7- -4 13+ -6  8
Curve Equation t 124215k1 [1,1,1,-236181,-10366686] 2 124215k2 [1,1,1,-2265026,1302701798] 4 124215k3 [1,1,1,-815851,2949544268] 2 124215k4 [1,1,1,-36175721,83732819204] 2
124215l (1 curve)	0	3+ 5+ 7- 13+	2 3+ 5+ 7-  3 13+ -5  2
Curve Equation t 124215l1 [0,-1,1,1244,23337] 1
124215m (1 curve)	0	3+ 5+ 7- 13+	2 3+ 5+ 7- -3 13+ -3  6
Curve Equation t 124215m1 [0,-1,1,-5126,-529579] 1
124215n (1 curve)	0	3+ 5+ 7- 13+	-2 3+ 5+ 7- -2 13+ -2  0
Curve Equation t 124215n1 [0,-1,1,-1486,-22254] 1
124215o (1 curve)	0	3+ 5+ 7- 13+	-2 3+ 5+ 7- -5 13+  7 -6
Curve Equation t 124215o1 [0,-1,1,-549306,246356606] 1
124215p (1 curve)	1	3+ 5+ 7- 13-	0 3+ 5+ 7-  4 13- -3  0
Curve Equation t Generators 124215p1 [0,-1,1,71769,31766321] 1 [-91427317:530698458:389017]
124215q (2 curves)	1	3+ 5+ 7- 13-	1 3+ 5+ 7-  0 13-  2 -2
Curve Equation t Generators 124215q1 [1,1,0,-836553,-368406072] 2 [6315990763705945659571836:-673895100765503178603579418:556326747202930304229] 124215q2 [1,1,0,-14293178,-20803636797] 2 [-78591542968438:11313426102929:36166175443]
124215r (2 curves)	1	3+ 5+ 7- 13-	1 3+ 5+ 7-  0 13- -8 -2
Curve Equation t Generators 124215r1 [1,1,0,-3703053,2409163632] 2 [35062:2104953:8] 124215r2 [1,1,0,-57233348,166629402633] 2 [-2192:531717:1]
124215s (1 curve)	1	3+ 5+ 7- 13-	1 3+ 5+ 7- -3 13-  1 -8
Curve Equation t Generators 124215s1 [1,1,0,-375183,-88815852] 1 [31477536425548:8463278124358984:433798093]
124215t (2 curves)	1	3+ 5+ 7- 13-	1 3+ 5+ 7-  6 13-  2  4
Curve Equation t Generators 124215t1 [1,1,0,17027,136648] 2 [-811308:24255914:132651] 124215t2 [1,1,0,-68968,1013797] 2 [-7188:24419:27]
124215u (2 curves)	1	3+ 5+ 7- 13-	-1 3+ 5+ 7-  0 13-  4  2
Curve Equation t Generators 124215u1 [1,1,1,-16416,782088] 2 [-8:959:1] 124215u2 [1,1,1,-38711,-1830886] 2 [-57:469:1]
124215v (1 curve)	1	3+ 5+ 7- 13-	-2 3+ 5+ 7- -3 13- -2  4
Curve Equation t Generators 124215v1 [0,-1,1,-12308326,16702740732] 1 [293118:10793753:216]
124215w (1 curve)	0	3+ 5- 7+ 13+	0 3+ 5- 7+ -1 13+ -6  2
Curve Equation t 124215w1 [0,-1,1,38645,-2015427] 1
124215x (2 curves)	1	3+ 5- 7- 13+	0 3+ 5- 7-  0 13+  3  8
Curve Equation t Generators 124215x1 [0,-1,1,-541025,402594233] 1 [139:18167:1] 124215x2 [0,-1,1,-61406375,185232402578] 1 [70060150:74482571:15625]
124215y (1 curve)	1	3+ 5- 7- 13+	0 3+ 5- 7- -1 13+ -7  4
Curve Equation t Generators 124215y1 [0,-1,1,-872265,-313728829] 1 [1101:7702:1]
124215z (1 curve)	1	3+ 5- 7- 13+	0 3+ 5- 7-  3 13+ -1  0
Curve Equation t Generators 124215z1 [0,-1,1,-328085,73750991] 1 [1001:27337:1]
124215ba (2 curves)	1	3+ 5- 7- 13+	0 3+ 5- 7-  6 13+  0  4
Curve Equation t Generators 124215ba1 [0,-1,1,2440135,-762666682] 1 [2337184844:132105708997:1030301] 124215ba2 [0,-1,1,-26626175,65284709531] 1 [22225:3232812:1]
124215bb (2 curves)	1	3+ 5- 7- 13+	1 3+ 5- 7-  0 13+  0 -6
Curve Equation t Generators 124215bb1 [1,1,0,-13456797,18972763776] 2 [1135184756720:-102588660535719:122023936] 124215bb2 [1,1,0,-17224652,7490602449] 2 [-1729144:85238667:512]
124215bc (2 curves)	1	3+ 5- 7- 13+	1 3+ 5- 7- -2 13+  0  1
Curve Equation t Generators 124215bc1 [1,1,0,-82982,-9506349] 1 [3089982:1231679:9261] 124215bc2 [1,1,0,-1236407,1404546564] 1 [31296:1040602:27]
124215bd (8 curves)	1	3+ 5- 7- 13+	1 3+ 5- 7- -4 13+ -2 -4
Curve Equation t Generators 124215bd1 [1,1,0,-911082,-335091609] 2 [17590:719933:8] 124215bd2 [1,1,0,-952487,-303019296] 4 [23444322:-980599161:10648] 124215bd3 [1,1,0,1738838,-1701970031] 2 [27676874018000:1697047089582527:8000000000] 124215bd4 [1,1,0,-4306292,3149387571] 4 [762:17259:1] 124215bd5 [1,1,0,5009833,14923106346] 2 [112566:13500057:8] 124215bd6 [1,1,0,-67283297,212396784384] 4 [3268:163986:1] 124215bd7 [1,1,0,-65668502,223078007391] 2 [49406:1819047:8] 124215bd8 [1,1,0,-1076530172,13594808497509] 2 [152894:246343:8]
124215be (4 curves)	1	3+ 5- 7- 13+	-1 3+ 5- 7-  0 13+ -2 -8
Curve Equation t Generators 124215be1 [1,1,1,-20875,-1108528] 2 [-90:271:1] 124215be2 [1,1,1,-62280,4588800] 4 [-232:2688:1] 124215be3 [1,1,1,144745,28852130] 2 [3255:185455:1] 124215be4 [1,1,1,-931785,345782562] 2 [-918:21161:1]
124215bf (4 curves)	1	3+ 5- 7- 13+	-1 3+ 5- 7- -4 13+  2  4
Curve Equation t Generators 124215bf1 [1,1,1,-1180215,493002180] 4 [693:2573:1] 124215bf2 [1,1,1,-1221620,456499532] 4 [27:20566:1] 124215bf3 [1,1,1,1883755,2402948582] 2 [12046:738283:8] 124215bf4 [1,1,1,-4989475,-3825290890] 2 [-1217:21733:1]
124215bg (1 curve)	1	3+ 5- 7- 13+	2 3+ 5- 7-  2 13+ -2  0
Curve Equation t Generators 124215bg1 [0,-1,1,-251190,-49896169] 1 [646804253108230:12664677856248723:823710965624]
124215bh (1 curve)	1	3+ 5- 7- 13+	2 3+ 5- 7-  6 13+  4  1
Curve Equation t Generators 124215bh1 [0,-1,1,-2569870,-2612269437] 1 [5680389480372493584023170756077697736154:1330021882943860938590867032750883196526287:103521630065905501988908040116475336]
124215bi (1 curve)	1	3+ 5- 7- 13+	-2 3+ 5- 7-  3 13+ -3 -6
Curve Equation t Generators 124215bi1 [0,-1,1,-30,-232] 1 [12:31:1]
124215bj (1 curve)	1	3+ 5- 7- 13+	-2 3+ 5- 7- -3 13+ -5 -2
Curve Equation t Generators 124215bj1 [0,-1,1,210180,52112738] 1 [789:-26618:1]
124215bk (1 curve)	1	3+ 5- 7- 13+	-2 3+ 5- 7-  5 13+ -5  2
Curve Equation t Generators 124215bk1 [0,-1,1,-2760,510278] 1 [-82:422:1]
124215bl (1 curve)	0	3+ 5- 7- 13-	0 3+ 5- 7- -4 13- -3  0
Curve Equation t 124215bl1 [0,-1,1,425,14328] 1
124215bm (2 curves)	0	3+ 5- 7- 13-	1 3+ 5- 7-  0 13-  4 -2
Curve Equation t 124215bm1 [1,1,0,-2774307,1732119264] 2 124215bm2 [1,1,0,-6542162,-3989745339] 2
124215bn (2 curves)	0	3+ 5- 7- 13-	-1 3+ 5- 7-  0 13-  2  2
Curve Equation t 124215bn1 [1,1,1,-4950,-169590] 2 124215bn2 [1,1,1,-84575,-9501640] 2
124215bo (2 curves)	0	3+ 5- 7- 13-	-1 3+ 5- 7-  0 13- -8  2
Curve Equation t 124215bo1 [1,1,1,-625816045,5296061579570] 2 124215bo2 [1,1,1,-9672435900,366133159764042] 2
124215bp (1 curve)	0	3+ 5- 7- 13-	-1 3+ 5- 7-  3 13-  1  8
Curve Equation t 124215bp1 [1,1,1,-2220,-41280] 1
124215bq (2 curves)	0	3+ 5- 7- 13-	-1 3+ 5- 7- -6 13-  2 -4
Curve Equation t 124215bq1 [1,1,1,2877475,285828122] 2 124215bq2 [1,1,1,-11655680,2285590250] 2
124215br (1 curve)	0	3+ 5- 7- 13-	2 3+ 5- 7-  3 13- -2 -4
Curve Equation t 124215br1 [0,-1,1,-72830,7624931] 1
124215bs (2 curves)	0	3- 5+ 7+ 13+	0 3- 5+ 7+  0 13+ -3 -8
Curve Equation t 124215bs1 [0,1,1,-11041,-1176899] 1 124215bs2 [0,1,1,-1253191,-540394214] 1
124215bt (2 curves)	0	3- 5+ 7+ 13+	1 3- 5+ 7+ -2 13+  0 -1
Curve Equation t 124215bt1 [1,0,1,-4066144,3248479301] 1 124215bt2 [1,0,1,-60583969,-481941223333] 1
124215bu (1 curve)	0	3- 5+ 7+ 13+	2 3- 5+ 7+  6 13+ -4 -1
Curve Equation t 124215bu1 [0,1,1,-52446,7600961] 1
124215bv (1 curve)	1	3- 5+ 7+ 13-	0 3- 5+ 7+ -4 13-  3  0
Curve Equation t Generators 124215bv1 [0,1,1,20809,-4956220] 1 [160:1579:1]
124215bw (1 curve)	1	3- 5+ 7+ 13-	-1 3- 5+ 7+  3 13- -1 -8
Curve Equation t Generators 124215bw1 [1,0,0,-108781,13832636] 1 [53:2840:1]
124215bx (1 curve)	1	3- 5+ 7+ 13-	2 3- 5+ 7+  3 13-  2  4
Curve Equation t Generators 124215bx1 [0,1,1,-1486,-22655] 1 [206862:6399649:216]
124215by (1 curve)	1	3- 5+ 7- 13+	0 3- 5+ 7- -1 13+  3  4
Curve Equation t Generators 124215by1 [0,1,1,71769,-3876505] 1 [317:7129:1]
124215bz (1 curve)	1	3- 5+ 7- 13+	0 3- 5+ 7- -1 13+  6 -2
Curve Equation t Generators 124215bz1 [0,1,1,789,6101] 1 [-87:1592:27]
124215ca (1 curve)	1	3- 5+ 7- 13+	0 3- 5+ 7-  3 13+  1  0
Curve Equation t Generators 124215ca1 [0,1,1,-16076181,-25264437649] 1 [474756:32867257:64]
124215cb (1 curve)	1	3- 5+ 7- 13+	0 3- 5+ 7-  5 13+  3 -2
Curve Equation t Generators 124215cb1 [0,1,1,-11041,-460274] 1 [926:28003:1]
124215cc (2 curves)	1	3- 5+ 7- 13+	1 3- 5+ 7-  0 13+  0  6
Curve Equation t Generators 124215cc1 [1,0,1,-274629,-55353413] 2 [-307:369:1] 124215cc2 [1,0,1,-351524,-21888709] 2 [-519:4822:1]
124215cd (4 curves)	1	3- 5+ 7- 13+	-1 3- 5+ 7-  0 13+ -2 -4
Curve Equation t Generators 124215cd1 [1,0,0,-1933786,867027251] 2 [1145:11849:1] 124215cd2 [1,0,0,-8931231,-9459802080] 4 [-1872:27396:1] 124215cd3 [1,0,0,9908044,-44060014545] 2 [130502:16826975:8] 124215cd4 [1,0,0,-139729626,-635748677019] 2 [-54522:41211:8]
124215ce (1 curve)	1	3- 5+ 7- 13+	-1 3- 5+ 7- -3 13+ -8 -1
Curve Equation t Generators 124215ce1 [1,0,0,-16416,2810625] 1 [221:3050:1]
124215cf (1 curve)	1	3- 5+ 7- 13+	-1 3- 5+ 7- -5 13+  4 -5
Curve Equation t Generators 124215cf1 [1,0,0,-29156,-14617695] 1 [291:1104:1]
124215cg (1 curve)	1	3- 5+ 7- 13+	2 3- 5+ 7- -3 13+ -5  8
Curve Equation t Generators 124215cg1 [0,1,1,-466496,-164064169] 1 [52761473461972:1427139846260131:43169672512]
124215ch (1 curve)	1	3- 5+ 7- 13+	-2 3- 5+ 7-  3 13+  3  6
Curve Equation t Generators 124215ch1 [0,1,1,-1486,82450] 1 [65:514:1]
124215ci (1 curve)	1	3- 5+ 7- 13+	-2 3- 5+ 7- -3 13+  5  2
Curve Equation t Generators 124215ci1 [0,1,1,10298804,-17895266840] 1 [1318340:191308561:64]
124215cj (1 curve)	0	3- 5+ 7- 13-	0 3- 5+ 7-  3 13-  3  0
Curve Equation t 124215cj1 [0,1,1,1699,-35395] 1
124215ck (2 curves)	1	3- 5- 7+ 13+	0 3- 5- 7+  0 13+  6 -5
Curve Equation t Generators 124215ck1 [0,1,1,38645,-5897069] 1 [2855:152917:1] 124215ck2 [0,1,1,-1700365,-855751256] 1 [2046873557786:98820333120017:683797841]
124215cl (1 curve)	1	3- 5- 7+ 13+	0 3- 5- 7+  0 13+ -7  8
Curve Equation t Generators 124215cl1 [0,1,1,5422851495,8801713469189] 1 [3829327986904535955963:5038102039229985582445598:2216271374429939]
124215cm (1 curve)	1	3- 5- 7+ 13+	0 3- 5- 7+ -5 13+ -2 -2
Curve Equation t Generators 124215cm1 [0,1,1,-44165,-81461194] 1 [3670:221812:1]
124215cn (2 curves)	1	3- 5- 7+ 13+	-1 3- 5- 7+  2 13+  0  1
Curve Equation t Generators 124215cn1 [1,0,0,-24060,1476747] 1 [249:3183:1] 124215cn2 [1,0,0,-358485,-219390900] 1 [48765:-1938445:27]
124215co (1 curve)	0	3- 5- 7+ 13-	0 3- 5- 7+  4 13-  3  0
Curve Equation t 124215co1 [0,1,1,3516665,-10902881531] 1
124215cp (1 curve)	0	3- 5- 7+ 13-	1 3- 5- 7+ -3 13- -1  8
Curve Equation t 124215cp1 [1,0,1,-18383993,30408685283] 1
124215cq (1 curve)	0	3- 5- 7+ 13-	-2 3- 5- 7+ -3 13-  2 -4
Curve Equation t 124215cq1 [0,1,1,-251190,-48767806] 1
124215cr (1 curve)	0	3- 5- 7- 13+	0 3- 5- 7-  1 13+  3 -4
Curve Equation t 124215cr1 [0,1,1,425,-1634] 1
124215cs (1 curve)	0	3- 5- 7- 13+	0 3- 5- 7- -3 13+  1  0
Curve Equation t 124215cs1 [0,1,1,-95125,-11528786] 1
124215ct (1 curve)	0	3- 5- 7- 13+	0 3- 5- 7- -5 13+  3  2
Curve Equation t 124215ct1 [0,1,1,-1865985,-1003757569] 1
124215cu (1 curve)	0	3- 5- 7- 13+	1 3- 5- 7-  3 13+ -8  1
Curve Equation t 124215cu1 [1,0,1,-2774308,6177717431] 1
124215cv (8 curves)	0	3- 5- 7- 13+	1 3- 5- 7-  4 13+ -2  4
Curve Equation t 124215cv1 [1,0,1,-173,-140437] 2 124215cv2 [1,0,1,-41578,-3220969] 4 124215cv3 [1,0,1,-82983,4248493] 4 124215cv4 [1,0,1,-662653,-207678859] 2 124215cv5 [1,0,1,289662,31973281] 2 124215cv6 [1,0,1,-1118108,454734893] 4 124215cv7 [1,0,1,-911083,628387463] 2 124215cv8 [1,0,1,-17887133,29116352423] 2
124215cw (6 curves)	0	3- 5- 7- 13+	1 3- 5- 7- -4 13+ -2 -4
Curve Equation t 124215cw1 [1,0,1,1241977,-2923515619] 2 124215cw2 [1,0,1,-24636148,-44411325619] 4 124215cw3 [1,0,1,-75357273,197366133031] 4 124215cw4 [1,0,1,-387965023,-2941305111769] 2 124215cw5 [1,0,1,169553302,1214038911971] 2 124215cw6 [1,0,1,-1131805848,14654653592191] 2
124215cx (1 curve)	0	3- 5- 7- 13+	1 3- 5- 7-  5 13+  4  5
Curve Equation t 124215cx1 [1,0,1,-173,-6667] 1
124215cy (2 curves)	0	3- 5- 7- 13+	-1 3- 5- 7-  0 13+ -4 -2
Curve Equation t 124215cy1 [1,0,0,-269305,41817320] 2 124215cy2 [1,0,0,-4037160,3121661997] 2
124215cz (1 curve)	0	3- 5- 7- 13+	2 3- 5- 7-  3 13+  5 -2
Curve Equation t 124215cz1 [0,1,1,60940,-8126569] 1
124215da (1 curve)	0	3- 5- 7- 13+	2 3- 5- 7- -3 13+  3 -6
Curve Equation t 124215da1 [0,1,1,-251190,182147879] 1
124215db (1 curve)	0	3- 5- 7- 13+	-2 3- 5- 7-  1 13+  1 -2
Curve Equation t 124215db1 [0,1,1,-1576150,-782613464] 1
124215dc (1 curve)	0	3- 5- 7- 13+	-2 3- 5- 7-  3 13+ -5 -8
Curve Equation t 124215dc1 [0,1,1,-2760,-75526] 1
124215dd (1 curve)	1	3- 5- 7- 13-	0 3- 5- 7- -3 13-  3  0
Curve Equation t Generators 124215dd1 [0,1,1,287075,-78910646] 1 [2138:32951:8]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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