Cremona's table of elliptic curves

23850 = 2 · 3² · 5² · 53

Class	r	Atkin-Lehner	Eigenvalues
23850a (2 curves)	1	2+ 3+ 5+ 53+	2+ 3+ 5+  2  2  0 -2 -4
Curve Equation t Generators 23850a1 [1,-1,0,82308,50363216] 2 [-161:5818:1] 23850a2 [1,-1,0,-1645692,767483216] 2 [2399:101863:1]
23850b (1 curve)	1	2+ 3+ 5+ 53+	2+ 3+ 5+  3  1  2  2 -7
Curve Equation t Generators 23850b1 [1,-1,0,-267,3141] 1 [9:-42:1]
23850c (1 curve)	1	2+ 3+ 5+ 53+	2+ 3+ 5+ -4 -1  0  4  5
Curve Equation t Generators 23850c1 [1,-1,0,-177,-1099] 1 [55:364:1]
23850d (1 curve)	0	2+ 3+ 5+ 53-	2+ 3+ 5+ -1  3  2  6 -5
Curve Equation t 23850d1 [1,-1,0,-2442,-46534] 1
23850e (1 curve)	0	2+ 3+ 5+ 53-	2+ 3+ 5+ -1 -3  2  0  1
Curve Equation t 23850e1 [1,-1,0,-1992,516416] 1
23850f (1 curve)	0	2+ 3+ 5+ 53-	2+ 3+ 5+ -1 -5  6  2 -1
Curve Equation t 23850f1 [1,-1,0,34833,2013741] 1
23850g (2 curves)	0	2+ 3+ 5+ 53-	2+ 3+ 5+  2  4  6  2 -4
Curve Equation t 23850g1 [1,-1,0,-84792,9527616] 2 23850g2 [1,-1,0,-1356792,608639616] 2
23850h (2 curves)	0	2+ 3+ 5+ 53-	2+ 3+ 5+  2 -4 -2  2  4
Curve Equation t 23850h1 [1,-1,0,-417,-370259] 2 23850h2 [1,-1,0,-79917,-8558759] 2
23850i (2 curves)	2	2+ 3+ 5+ 53-	2+ 3+ 5+ -4 -2 -2  0 -4
Curve Equation t Generators 23850i1 [1,-1,0,33,441] 2 [4:-27:1]&[-18:159:8] 23850i2 [1,-1,0,-717,7191] 2 [-27:93:1]&[-21:123:1]
23850j (1 curve)	0	2+ 3+ 5- 53+	2+ 3+ 5-  4  1  0  4  5
Curve Equation t 23850j1 [1,-1,0,-492,5416] 1
23850k (1 curve)	1	2+ 3+ 5- 53-	2+ 3+ 5-  1  3 -2  0  1
Curve Equation t Generators 23850k1 [1,-1,0,-717,-111259] 1 [8345:41768:125]
23850l (4 curves)	0	2+ 3- 5+ 53+	2+ 3- 5+  0  0  2  2 -4
Curve Equation t 23850l1 [1,-1,0,13833,-196259] 2 23850l2 [1,-1,0,-58167,-1564259] 4 23850l3 [1,-1,0,-535167,149644741] 2 23850l4 [1,-1,0,-733167,-241189259] 2
23850m (1 curve)	0	2+ 3- 5+ 53+	2+ 3- 5+  0  1  2 -7  2
Curve Equation t 23850m1 [1,-1,0,1458,39366] 1
23850n (1 curve)	0	2+ 3- 5+ 53+	2+ 3- 5+  0  4 -1  5 -7
Curve Equation t 23850n1 [1,-1,0,-1692,-26784] 1
23850o (2 curves)	0	2+ 3- 5+ 53+	2+ 3- 5+  0  4  4  0 -2
Curve Equation t 23850o1 [1,-1,0,-630567,143825341] 2 23850o2 [1,-1,0,1556433,920210341] 2
23850p (4 curves)	0	2+ 3- 5+ 53+	2+ 3- 5+  0 -4  2 -2 -8
Curve Equation t 23850p1 [1,-1,0,-3541167,803373741] 2 23850p2 [1,-1,0,-45013167,116137005741] 4 23850p3 [1,-1,0,-33565167,176616789741] 2 23850p4 [1,-1,0,-720013167,7436512005741] 2
23850q (2 curves)	0	2+ 3- 5+ 53+	2+ 3- 5+  1  0 -2  0 -4
Curve Equation t 23850q1 [1,-1,0,-11367,-511709] 1 23850q2 [1,-1,0,73008,1091416] 1
23850r (1 curve)	0	2+ 3- 5+ 53+	2+ 3- 5+  3 -1  2  4  7
Curve Equation t 23850r1 [1,-1,0,1458,19116] 1
23850s (1 curve)	0	2+ 3- 5+ 53+	2+ 3- 5+  3  4  4  6  4
Curve Equation t 23850s1 [1,-1,0,63,-1859] 1
23850t (1 curve)	0	2+ 3- 5+ 53+	2+ 3- 5+ -3  0  2 -4 -4
Curve Equation t 23850t1 [1,-1,0,-4464027,3637162021] 1
23850u (2 curves)	0	2+ 3- 5+ 53+	2+ 3- 5+ -5  3  4  6  5
Curve Equation t 23850u1 [1,-1,0,-13617,-608459] 1 23850u2 [1,-1,0,10008,-2427584] 1
23850v (1 curve)	1	2+ 3- 5+ 53-	2+ 3- 5+ -1  1  4  6 -1
Curve Equation t Generators 23850v1 [1,-1,0,31833,-416259] 1 [669:17553:1]
23850w (1 curve)	1	2+ 3- 5+ 53-	2+ 3- 5+ -1  4  0  2 -4
Curve Equation t Generators 23850w1 [1,-1,0,648,17496] 1 [3:138:1]
23850x (1 curve)	1	2+ 3- 5+ 53-	2+ 3- 5+ -1  5 -2 -4  1
Curve Equation t Generators 23850x1 [1,-1,0,58131333,-123897391259] 1 [253889:127858118:1]
23850y (1 curve)	1	2+ 3- 5+ 53-	2+ 3- 5+  2  0 -1  3  1
Curve Equation t Generators 23850y1 [1,-1,0,275808,-104310784] 1 [166304:67736448:1]
23850z (2 curves)	1	2+ 3- 5+ 53-	2+ 3- 5+  2  0  2 -6 -2
Curve Equation t Generators 23850z1 [1,-1,0,-942,3716] 2 [64:-482:1] 23850z2 [1,-1,0,3558,26216] 2 [49:-587:1]
23850ba (1 curve)	1	2+ 3- 5+ 53-	2+ 3- 5+  2  3 -4 -3  1
Curve Equation t Generators 23850ba1 [1,-1,0,-4925742,-4208551084] 1 [14950408463015:1896562021949022:904231063]
23850bb (2 curves)	1	2+ 3- 5+ 53-	2+ 3- 5+  2 -4  4 -4  4
Curve Equation t Generators 23850bb1 [1,-1,0,-5292,41116] 2 [5:119:1] 23850bb2 [1,-1,0,-66042,6541366] 2 [59:1658:1]
23850bc (1 curve)	1	2+ 3- 5+ 53-	2+ 3- 5+  2 -5  4  3 -4
Curve Equation t Generators 23850bc1 [1,-1,0,-6192,189216] 1 [45:-9:1]
23850bd (2 curves)	1	2+ 3- 5+ 53-	2+ 3- 5+ -2  0  0  8  0
Curve Equation t Generators 23850bd1 [1,-1,0,-2334042,-1369447884] 2 [-20929329:-13893048:24389] 23850bd2 [1,-1,0,-37326042,-87764695884] 2 [-114496030275:57826802136:32461759]
23850be (2 curves)	1	2+ 3- 5+ 53-	2+ 3- 5+ -2  0 -5  3  5
Curve Equation t Generators 23850be1 [1,-1,0,-3042,630616] 1 [114:1268:1] 23850be2 [1,-1,0,-658917,206038741] 1 [474:-37:1]
23850bf (2 curves)	1	2+ 3- 5+ 53-	2+ 3- 5+  4  6 -6 -4 -6
Curve Equation t Generators 23850bf1 [1,-1,0,74583,345413241] 2 [60:18681:1] 23850bf2 [1,-1,0,-6956667,6905569491] 2 [2657985:-42869964:1331]
23850bg (2 curves)	1	2+ 3- 5+ 53-	2+ 3- 5+ -4 -2 -6 -4  2
Curve Equation t Generators 23850bg1 [1,-1,0,-185292,-34446384] 2 [879:21498:1] 23850bg2 [1,-1,0,-3065292,-2064846384] 2 [2415:66711:1]
23850bh (1 curve)	1	2+ 3- 5+ 53-	2+ 3- 5+ -4 -5  0 -7 -1
Curve Equation t Generators 23850bh1 [1,-1,0,11133,404541] 1 [43:959:1]
23850bi (1 curve)	1	2+ 3- 5- 53+	2+ 3- 5-  0  3  4 -4  5
Curve Equation t Generators 23850bi1 [1,-1,0,-9117,359941] 1 [-1:608:1]
23850bj (2 curves)	1	2+ 3- 5- 53+	2+ 3- 5-  2  0  2 -4  6
Curve Equation t Generators 23850bj1 [1,-1,0,-477,4081] 2 [-1:68:1] 23850bj2 [1,-1,0,-927,-4469] 2 [-7:44:1]
23850bk (2 curves)	1	2+ 3- 5- 53+	2+ 3- 5- -2  4  6 -4 -6
Curve Equation t Generators 23850bk1 [1,-1,0,-156852,23061456] 2 [-120:6396:1] 23850bk2 [1,-1,0,-416052,-72583344] 2 [-255:4236:1]
23850bl (2 curves)	1	2+ 3- 5- 53+	2+ 3- 5- -2 -4  2  0 -2
Curve Equation t Generators 23850bl1 [1,-1,0,-103617,12828541] 2 [-181:5153:1] 23850bl2 [1,-1,0,-148617,633541] 2 [-205:4841:1]
23850bm (1 curve)	1	2+ 3- 5- 53+	2+ 3- 5- -5 -1 -6  0  3
Curve Equation t Generators 23850bm1 [1,-1,0,558,1066] 1 [29:188:1]
23850bn (2 curves)	0	2+ 3- 5- 53-	2+ 3- 5- -2  2 -2 -6  0
Curve Equation t 23850bn1 [1,-1,0,2045133,-4143028959] 2 23850bn2 [1,-1,0,-29556117,-56948717709] 2
23850bo (1 curve)	0	2+ 3- 5- 53-	2+ 3- 5-  3 -3 -2  4  5
Curve Equation t 23850bo1 [1,-1,0,-2367,53541] 1
23850bp (2 curves)	0	2+ 3- 5- 53-	2+ 3- 5-  4  4  0  2  6
Curve Equation t 23850bp1 [1,-1,0,-139752,-20073744] 2 23850bp2 [1,-1,0,-142452,-19255644] 2
23850bq (2 curves)	0	2+ 3- 5- 53-	2+ 3- 5-  4 -4  4  6 -6
Curve Equation t 23850bq1 [1,-1,0,-19242,812916] 2 23850bq2 [1,-1,0,-289242,59942916] 2
23850br (1 curve)	0	2- 3+ 5+ 53+	2- 3+ 5+ -1  3  2  0  1
Curve Equation t 23850br1 [1,-1,1,-17930,-13925303] 1
23850bs (1 curve)	0	2- 3+ 5+ 53+	2- 3+ 5+ -1 -3  2 -6 -5
Curve Equation t 23850bs1 [1,-1,1,-21980,1278397] 1
23850bt (1 curve)	0	2- 3+ 5+ 53+	2- 3+ 5+ -1  5  6 -2 -1
Curve Equation t 23850bt1 [1,-1,1,313495,-54684503] 1
23850bu (2 curves)	0	2- 3+ 5+ 53+	2- 3+ 5+  2  4 -2 -2  4
Curve Equation t 23850bu1 [1,-1,1,-3755,10000747] 2 23850bu2 [1,-1,1,-719255,231805747] 2
23850bv (2 curves)	0	2- 3+ 5+ 53+	2- 3+ 5+  2 -4  6 -2 -4
Curve Equation t 23850bv1 [1,-1,1,-763130,-256482503] 2 23850bv2 [1,-1,1,-12211130,-16421058503] 2
23850bw (2 curves)	0	2- 3+ 5+ 53+	2- 3+ 5+ -4  2 -2  0 -4
Curve Equation t 23850bw1 [1,-1,1,295,-12203] 2 23850bw2 [1,-1,1,-6455,-187703] 2
23850bx (2 curves)	1	2- 3+ 5+ 53-	2- 3+ 5+  2 -2  0  2 -4
Curve Equation t Generators 23850bx1 [1,-1,1,9145,-1868353] 2 [249:-4100:1] 23850bx2 [1,-1,1,-182855,-28364353] 2 [-237:1390:1]
23850by (1 curve)	1	2- 3+ 5+ 53-	2- 3+ 5+  3 -1  2 -2 -7
Curve Equation t Generators 23850by1 [1,-1,1,-2405,-82403] 1 [199:2600:1]
23850bz (1 curve)	1	2- 3+ 5+ 53-	2- 3+ 5+ -4  1  0 -4  5
Curve Equation t Generators 23850bz1 [1,-1,1,-20,47] 1 [3:1:1]
23850ca (1 curve)	1	2- 3+ 5- 53+	2- 3+ 5-  1 -3 -2  0  1
Curve Equation t Generators 23850ca1 [1,-1,1,-80,4147] 1 [-11:65:1]
23850cb (1 curve)	0	2- 3+ 5- 53-	2- 3+ 5-  4 -1  0 -4  5
Curve Equation t 23850cb1 [1,-1,1,-4430,-141803] 1
23850cc (2 curves)	1	2- 3- 5+ 53+	2- 3- 5+  0  2 -4 -2  4
Curve Equation t Generators 23850cc1 [1,-1,1,-26105,2903897] 2 [-51:2050:1] 23850cc2 [1,-1,1,-503105,137417897] 2 [309:3220:1]
23850cd (2 curves)	1	2- 3- 5+ 53+	2- 3- 5+  0 -2 -2  0 -2
Curve Equation t Generators 23850cd1 [1,-1,1,-2255,92247] 2 [29:-240:1] 23850cd2 [1,-1,1,-47255,3962247] 2 [89:630:1]
23850ce (1 curve)	1	2- 3- 5+ 53+	2- 3- 5+ -1 -5  0  2 -1
Curve Equation t Generators 23850ce1 [1,-1,1,445,25697] 1 [-138:965:8]
23850cf (2 curves)	1	2- 3- 5+ 53+	2- 3- 5+  2  4  0 -4 -4
Curve Equation t Generators 23850cf1 [1,-1,1,-38255,-2575753] 2 [-101:550:1] 23850cf2 [1,-1,1,-146255,18808247] 2 [439:-6470:1]
23850cg (4 curves)	1	2- 3- 5+ 53+	2- 3- 5+ -2  0  4  0  8
Curve Equation t Generators 23850cg1 [1,-1,1,-47255,2747247] 2 [239:2130:1] 23850cg2 [1,-1,1,-290255,-58002753] 2 [-291:1470:1] 23850cg3 [1,-1,1,-3489755,2510102247] 2 [8662:-2535:8] 23850cg4 [1,-1,1,-3496505,2499909747] 2 [11542:165225:8]
23850ch (2 curves)	1	2- 3- 5+ 53+	2- 3- 5+ -2  3  4  3 -4
Curve Equation t Generators 23850ch1 [1,-1,1,220,-3153] 1 [23:105:1] 23850ch2 [1,-1,1,-2030,95847] 1 [1172:15645:64]
23850ci (1 curve)	1	2- 3- 5+ 53+	2- 3- 5+  3  3  2 -4 -7
Curve Equation t Generators 23850ci1 [1,-1,1,-91355,-12308853] 1 [599:-12450:1]
23850cj (1 curve)	1	2- 3- 5+ 53+	2- 3- 5+ -3 -3  2 -4  5
Curve Equation t Generators 23850cj1 [1,-1,1,-95,447] 1 [5:6:1]
23850ck (2 curves)	1	2- 3- 5+ 53+	2- 3- 5+  4  0 -5 -3 -1
Curve Equation t Generators 23850ck1 [1,-1,1,-63680,7870947] 1 [189:1505:1] 23850ck2 [1,-1,1,-5535680,5014462947] 1 [1359:-655:1]
23850cl (2 curves)	1	2- 3- 5+ 53+	2- 3- 5+ -4 -2  0  2 -4
Curve Equation t Generators 23850cl1 [1,-1,1,772645,513035147] 2 [99:-24350:1] 23850cl2 [1,-1,1,-6859355,5870699147] 2 [-1341:113170:1]
23850cm (4 curves)	0	2- 3- 5+ 53-	2- 3- 5+  0  0  2 -2  8
Curve Equation t 23850cm1 [1,-1,1,-6755,-294253] 2 23850cm2 [1,-1,1,-119255,-15819253] 4 23850cm3 [1,-1,1,-130505,-12646753] 2 23850cm4 [1,-1,1,-1908005,-1013941753] 2
23850cn (1 curve)	0	2- 3- 5+ 53-	2- 3- 5+  0  3 -4  4  5
Curve Equation t 23850cn1 [1,-1,1,-227930,44764697] 1
23850co (1 curve)	0	2- 3- 5+ 53-	2- 3- 5+ -1  1  6 -4 -1
Curve Equation t 23850co1 [1,-1,1,-24754730,-47401374103] 1
23850cp (1 curve)	0	2- 3- 5+ 53-	2- 3- 5+  2  4  3 -1 -1
Curve Equation t 23850cp1 [1,-1,1,2020,-32353] 1
23850cq (4 curves)	0	2- 3- 5+ 53-	2- 3- 5+  4 -4  2  2  0
Curve Equation t 23850cq1 [1,-1,1,-203751005,-1119381151003] 2 23850cq2 [1,-1,1,-203769005,-1119173467003] 4 23850cq3 [1,-1,1,-174244505,-1454867032003] 2 23850cq4 [1,-1,1,-233581505,-770188342003] 2
23850cr (2 curves)	0	2- 3- 5+ 53-	2- 3- 5+  4 -4 -4 -4 -6
Curve Equation t 23850cr1 [1,-1,1,-30605,2066897] 2 23850cr2 [1,-1,1,-23855,2998397] 2
23850cs (1 curve)	0	2- 3- 5+ 53-	2- 3- 5+  4  5  2  5  6
Curve Equation t 23850cs1 [1,-1,1,-2705,-168703] 1
23850ct (4 curves)	2	2- 3- 5+ 53-	2- 3- 5+ -4 -4 -6 -6  0
Curve Equation t Generators 23850ct1 [1,-1,1,-30380,-172753] 2 [789:21205:1]&[189:805:1] 23850ct2 [1,-1,1,-318380,68947247] 4 [-501:10375:1]&[-291:11845:1] 23850ct3 [1,-1,1,-156380,138931247] 2 [-461:10855:1]&[-2818:99455:8] 23850ct4 [1,-1,1,-5088380,4419187247] 2 [1299:-425:1]&[-51:68425:1]
23850cu (1 curve)	0	2- 3- 5+ 53-	2- 3- 5+  5 -1  6  0  3
Curve Equation t 23850cu1 [1,-1,1,13945,147197] 1
23850cv (1 curve)	0	2- 3- 5+ 53-	2- 3- 5+ -5  5  2  8  3
Curve Equation t 23850cv1 [1,-1,1,-1950444005,33155435155997] 1
23850cw (1 curve)	0	2- 3- 5- 53+	2- 3- 5-  1  4  0 -2 -4
Curve Equation t 23850cw1 [1,-1,1,16195,2203197] 1
23850cx (2 curves)	0	2- 3- 5- 53+	2- 3- 5-  2  2  2  6  0
Curve Equation t 23850cx1 [1,-1,1,81805,-33160593] 2 23850cx2 [1,-1,1,-1182245,-455353293] 2
23850cy (1 curve)	0	2- 3- 5- 53+	2- 3- 5- -2  3  4  3  1
Curve Equation t 23850cy1 [1,-1,1,-197030,-33629003] 1
23850cz (1 curve)	0	2- 3- 5- 53+	2- 3- 5-  4 -5  0  7 -1
Curve Equation t 23850cz1 [1,-1,1,445,3147] 1
23850da (2 curves)	0	2- 3- 5- 53+	2- 3- 5- -4  4  0 -2  6
Curve Equation t 23850da1 [1,-1,1,-3493805,-2512711803] 2 23850da2 [1,-1,1,-3561305,-2410516803] 2
23850db (2 curves)	2	2- 3- 5- 53+	2- 3- 5- -4 -4 -4 -6 -6
Curve Equation t Generators 23850db1 [1,-1,1,-770,6657] 2 [29:-105:1]&[-21:125:1] 23850db2 [1,-1,1,-11570,481857] 2 [59:-75:1]&[-770:7059:8]
23850dc (2 curves)	1	2- 3- 5- 53-	2- 3- 5- -1  0  2  0 -4
Curve Equation t Generators 23850dc1 [1,-1,1,-455,-4003] 1 [70770:46997:2744] 23850dc2 [1,-1,1,2920,8147] 3 [894:10043:8]
23850dd (2 curves)	1	2- 3- 5- 53-	2- 3- 5-  2  4 -6  4 -6
Curve Equation t Generators 23850dd1 [1,-1,1,-3921305,2878760697] 2 [2183:-69780:1] 23850dd2 [1,-1,1,-10401305,-9083319303] 2 [-981:13740:1]
23850de (2 curves)	1	2- 3- 5- 53-	2- 3- 5-  2 -4 -2  0 -2
Curve Equation t Generators 23850de1 [1,-1,1,-4145,103457] 2 [45:-104:1] 23850de2 [1,-1,1,-5945,6257] 2 [-11:270:1]
23850df (2 curves)	1	2- 3- 5- 53-	2- 3- 5- -2  0 -2  4  6
Curve Equation t Generators 23850df1 [1,-1,1,-11930,498197] 2 [93:385:1] 23850df2 [1,-1,1,-23180,-581803] 2 [1494:9293:8]
23850dg (1 curve)	1	2- 3- 5- 53-	2- 3- 5-  3  0 -2  4 -4
Curve Equation t Generators 23850dg1 [1,-1,1,-111600680,454533651947] 1 [6285:33721:1]
23850dh (1 curve)	1	2- 3- 5- 53-	2- 3- 5- -3  4 -4 -6  4
Curve Equation t Generators 23850dh1 [1,-1,1,1570,-230803] 1 [69:415:1]

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