Cremona's table of elliptic curves

102410 = 2 · 5 · 7² · 11 · 19

Class	r	Atkin-Lehner	Eigenvalues
102410a (1 curve)	1	2+ 5+ 7+ 11+ 19+	2+ -1 5+ 7+ 11+ -5 -2 19+
Curve Equation t Generators 102410a1 [1,1,0,-798823,-274997323] 1 [-13713:11369:27]
102410b (1 curve)	0	2+ 5+ 7+ 11- 19+	2+  2 5+ 7+ 11-  1  7 19+
Curve Equation t 102410b1 [1,1,0,-35893,548493] 1
102410c (4 curves)	0	2+ 5+ 7- 11+ 19+	2+  0 5+ 7- 11+ -2  2 19+
Curve Equation t 102410c1 [1,-1,0,1825045,254498565] 2 102410c2 [1,-1,0,-7586875,2078528661] 4 102410c3 [1,-1,0,-71501495,-231069222175] 2 102410c4 [1,-1,0,-94262975,351851262601] 2
102410d (4 curves)	0	2+ 5+ 7- 11+ 19+	2+  0 5+ 7- 11+ -2  6 19+
Curve Equation t 102410d1 [1,-1,0,-9515,187781] 2 102410d2 [1,-1,0,-72235,-7326075] 4 102410d3 [1,-1,0,2245,-21760299] 2 102410d4 [1,-1,0,-1150235,-474531275] 2
102410e (4 curves)	0	2+ 5+ 7- 11+ 19+	2+  0 5+ 7- 11+  6 -2 19+
Curve Equation t 102410e1 [1,-1,0,-261620,51570896] 2 102410e2 [1,-1,0,-265540,49948800] 4 102410e3 [1,-1,0,199960,206077500] 2 102410e4 [1,-1,0,-793760,-210041084] 2
102410f (2 curves)	0	2+ 5+ 7- 11+ 19+	2+  2 5+ 7- 11+ -5 -3 19+
Curve Equation t 102410f1 [1,1,0,-34357718203,1437369711310653] 1 102410f2 [1,1,0,-2449426077578,1475517115357795028] 1
102410g (1 curve)	1	2+ 5+ 7- 11+ 19-	2+  0 5+ 7- 11+ -2  0 19-
Curve Equation t Generators 102410g1 [1,-1,0,8650,-107500] 1 [1550:22975:8]
102410h (4 curves)	1	2+ 5+ 7- 11+ 19-	2+  0 5+ 7- 11+ -2  2 19-
Curve Equation t Generators 102410h1 [1,-1,0,-563705,-779046675] 2 [3897690810:-309788214621:614125] 102410h2 [1,-1,0,-16620025,-25990680339] 4 [454932:29448159:64] 102410h3 [1,-1,0,-24460025,1036935661] 2 [-894:149407:1] 102410h4 [1,-1,0,-265681145,-1666755526675] 2 [-254069070:130328489:27000]
102410i (2 curves)	1	2+ 5+ 7- 11+ 19-	2+  2 5+ 7- 11+  0 -6 19-
Curve Equation t Generators 102410i1 [1,1,0,-1675923,-833713747] 2 [-1590833418:3804201733:2146689] 102410i2 [1,1,0,-2365843,-82942803] 2 [-6558:593239:27]
102410j (2 curves)	1	2+ 5+ 7- 11+ 19-	2+  2 5+ 7- 11+ -4  2 19-
Curve Equation t Generators 102410j1 [1,1,0,-421768,-105591828] 2 [-5352644723418:1336786354396:14190064461] 102410j2 [1,1,0,-384038,-125203882] 2 [142758415446886834263:-3581156228822443626470:133300486432186191]
102410k (1 curve)	1	2+ 5+ 7- 11+ 19-	2+ -3 5+ 7- 11+ -5 -1 19-
Curve Equation t Generators 102410k1 [1,-1,0,-100165,186600931] 1 [47534:3636483:8]
102410l (1 curve)	0	2+ 5+ 7- 11- 19-	2+  1 5+ 7- 11- -1 -1 19-
Curve Equation t 102410l1 [1,0,1,-2329,-250148] 1
102410m (1 curve)	0	2+ 5- 7+ 11+ 19+	2+  0 5- 7+ 11+  2  0 19+
Curve Equation t 102410m1 [1,-1,0,423841,36024813] 1
102410n (2 curves)	1	2+ 5- 7+ 11+ 19-	2+ -2 5- 7+ 11+  5  3 19-
Curve Equation t Generators 102410n1 [1,0,1,-701177923,-4190682416994] 3 [-116567812:11570910882:6859] 102410n2 [1,0,1,-49988287298,-4301806311323244] 1 [-8263020:5444853:64]
102410o (4 curves)	1	2+ 5- 7- 11+ 19+	2+  2 5- 7- 11+ -2  0 19+
Curve Equation t Generators 102410o1 [1,1,0,-77347,-8311491] 2 [-572944302:286255241:3581577] 102410o2 [1,1,0,-82247,-7205071] 2 [-115200:1056367:729] 102410o3 [1,1,0,-156482,11199476] 2 [1777:72244:1] 102410o4 [1,1,0,-2116482,1183671476] 2 [812:734:1]
102410p (2 curves)	1	2+ 5- 7- 11+ 19+	2+  2 5- 7- 11+  4  2 19+
Curve Equation t Generators 102410p1 [1,1,0,-1397,6749] 2 [470:2669:8] 102410p2 [1,1,0,-12177,-517159] 2 [482:10049:1]
102410q (2 curves)	1	2+ 5- 7- 11+ 19+	2+ -2 5- 7- 11+  4 -2 19+
Curve Equation t Generators 102410q1 [1,0,1,-8608,306618] 2 [64:-170:1] 102410q2 [1,0,1,-7838,363906] 2 [50:-338:1]
102410r (2 curves)	2	2+ 5- 7- 11+ 19-	2+  0 5- 7- 11+ -2 -4 19-
Curve Equation t Generators 102410r1 [1,-1,0,1706,22308] 2 [-8:94:1]&[102:1665:8] 102410r2 [1,-1,0,-9074,209880] 2 [-94:522:1]&[-54:762:1]
102410s (1 curve)	0	2+ 5- 7- 11+ 19-	2+  1 5- 7- 11+  5  2 19-
Curve Equation t 102410s1 [1,0,1,-39142353,94206654756] 1
102410t (2 curves)	0	2+ 5- 7- 11+ 19-	2+ -2 5- 7- 11+  6  4 19-
Curve Equation t 102410t1 [1,0,1,-26143,1623906] 2 102410t2 [1,0,1,-31043,971226] 2
102410u (1 curve)	0	2+ 5- 7- 11+ 19-	2+  3 5- 7- 11+  1 -1 19-
Curve Equation t 102410u1 [1,-1,0,-186278899,-1133912566795] 1
102410v (1 curve)	0	2+ 5- 7- 11- 19+	2+  1 5- 7- 11-  7 -2 19+
Curve Equation t 102410v1 [1,0,1,-173,5338] 1
102410w (2 curves)	0	2+ 5- 7- 11- 19+	2+ -1 5- 7- 11- -5 -6 19+
Curve Equation t 102410w1 [1,1,0,-95722,-12264076] 1 102410w2 [1,1,0,569943,1018501] 1
102410x (4 curves)	0	2+ 5- 7- 11- 19+	2+  2 5- 7- 11- -2  0 19+
Curve Equation t 102410x1 [1,1,0,-25652,-1591876] 2 102410x2 [1,1,0,-23202,-1904986] 2 102410x3 [1,1,0,-60687,3519461] 2 102410x4 [1,1,0,184313,25030461] 2
102410y (4 curves)	0	2+ 5- 7- 11- 19+	2+  2 5- 7- 11-  4  6 19+
Curve Equation t 102410y1 [1,1,0,-120222,-2477404] 2 102410y2 [1,1,0,-1424602,-653884776] 2 102410y3 [1,1,0,-6138157,5850732189] 2 102410y4 [1,1,0,-6310637,5504288861] 2
102410z (2 curves)	0	2+ 5- 7- 11- 19+	2+ -2 5- 7- 11-  4  4 19+
Curve Equation t 102410z1 [1,0,1,-119488,-49362162] 2 102410z2 [1,0,1,-2879168,-1877374194] 2
102410ba (1 curve)	0	2+ 5- 7- 11- 19+	2+ -3 5- 7- 11- -5 -2 19+
Curve Equation t 102410ba1 [1,-1,0,-50479,-654349907] 1
102410bb (2 curves)	1	2+ 5- 7- 11- 19-	2+  0 5- 7- 11-  4 -6 19-
Curve Equation t Generators 102410bb1 [1,-1,0,-8584,-278160] 2 [-59:172:1] 102410bb2 [1,-1,0,10036,-1332052] 2 [142:-1786:1]
102410bc (1 curve)	1	2+ 5- 7- 11- 19-	2+ -2 5- 7- 11- -1 -7 19-
Curve Equation t Generators 102410bc1 [1,0,1,-733,-1704] 1 [-8:64:1]
102410bd (2 curves)	1	2+ 5- 7- 11- 19-	2+ -2 5- 7- 11-  4  0 19-
Curve Equation t Generators 102410bd1 [1,0,1,413680612,2451200898906] 2 [59700:15459662:1] 102410bd2 [1,0,1,-2111599068,21962521818458] 2 [-31831:7560815:1]
102410be (2 curves)	1	2- 5+ 7+ 11+ 19-	2- -2 5+ 7+ 11+ -1 -3 19-
Curve Equation t Generators 102410be1 [1,0,0,-74481,7752961] 3 [-192:3967:1] 102410be2 [1,0,0,-530671,-144340785] 1 [-25740:142035:64]
102410bf (1 curve)	0	2- 5+ 7+ 11- 19-	2-  1 5+ 7+ 11-  1  6 19-
Curve Equation t 102410bf1 [1,0,0,-403761,-98245015] 1
102410bg (2 curves)	1	2- 5+ 7- 11+ 19+	2-  2 5+ 7- 11+  0  2 19+
Curve Equation t Generators 102410bg1 [1,1,1,-204821,29512699] 2 [1751:70140:1] 102410bg2 [1,1,1,398859,171256763] 2 [45219:1987076:27]
102410bh (4 curves)	1	2- 5+ 7- 11+ 19+	2-  2 5+ 7- 11+  4  6 19+
Curve Equation t Generators 102410bh1 [1,1,1,-752886,-232763917] 2 [-393:1813:1] 102410bh2 [1,1,1,-11791606,-15589831181] 2 [35419:6615665:1] 102410bh3 [1,1,1,-12356086,16668770803] 2 [-84237:4299421:27] 102410bh4 [1,1,1,-17573606,1229085619] 2 [-2185769991:-98782352669:658503]
102410bi (1 curve)	1	2- 5+ 7- 11+ 19+	2- -2 5+ 7- 11+  1  5 19+
Curve Equation t Generators 102410bi1 [1,0,0,-1156,12816] 1 [8:60:1]
102410bj (1 curve)	0	2- 5+ 7- 11+ 19-	2-  0 5+ 7- 11+ -1 -7 19-
Curve Equation t 102410bj1 [1,-1,1,-13,11] 1
102410bk (4 curves)	0	2- 5+ 7- 11+ 19-	2-  0 5+ 7- 11+  2  2 19-
Curve Equation t 102410bk1 [1,-1,1,-6700588,6642555567] 2 102410bk2 [1,-1,1,-107052588,426354760367] 4 102410bk3 [1,-1,1,-106895788,427665859247] 2 102410bk4 [1,-1,1,-1712841388,27285420544687] 2
102410bl (4 curves)	0	2- 5+ 7- 11+ 19-	2-  0 5+ 7- 11+  2 -6 19-
Curve Equation t 102410bl1 [1,-1,1,-12088,-480469] 2 102410bl2 [1,-1,1,-36588,2106731] 4 102410bl3 [1,-1,1,83462,12959251] 2 102410bl4 [1,-1,1,-548638,156541011] 2
102410bm (1 curve)	0	2- 5+ 7- 11- 19+	2-  1 5+ 7- 11-  3 -5 19+
Curve Equation t 102410bm1 [1,0,0,-163906,-25906364] 1
102410bn (1 curve)	2	2- 5+ 7- 11- 19+	2- -1 5+ 7- 11- -2  1 19+
Curve Equation t Generators 102410bn1 [1,1,1,-69826,11901903] 1 [-183:4403:1]&[-7:3523:1]
102410bo (1 curve)	0	2- 5+ 7- 11- 19+	2- -1 5+ 7- 11-  5 -6 19+
Curve Equation t 102410bo1 [1,1,1,-34881386,-79308241167] 1
102410bp (1 curve)	2	2- 5+ 7- 11- 19+	2- -1 5+ 7- 11- -5 -2 19+
Curve Equation t Generators 102410bp1 [1,1,1,-18271,507429] 1 [-147:282:1]&[-818:9595:8]
102410bq (2 curves)	0	2- 5+ 7- 11- 19+	2-  2 5+ 7- 11-  2  0 19+
Curve Equation t 102410bq1 [1,1,1,-7841,-7841] 2 102410bq2 [1,1,1,31359,-23521] 2
102410br (2 curves)	0	2- 5+ 7- 11- 19+	2-  2 5+ 7- 11- -4  6 19+
Curve Equation t 102410br1 [1,1,1,-19846,1000579] 2 102410br2 [1,1,1,-62966,-4898237] 2
102410bs (1 curve)	0	2- 5+ 7- 11- 19+	2-  3 5+ 7- 11-  4  7 19+
Curve Equation t 102410bs1 [1,-1,1,-278757408,-1844152926269] 1
102410bt (2 curves)	1	2- 5+ 7- 11- 19-	2-  0 5+ 7- 11- -4  2 19-
Curve Equation t Generators 102410bt1 [1,-1,1,-864198,299650901] 2 [9147:177889:27] 102410bt2 [1,-1,1,327482,1061372757] 2 [-47:32363:1]
102410bu (2 curves)	1	2- 5+ 7- 11- 19-	2-  1 5+ 7- 11-  1  2 19-
Curve Equation t Generators 102410bu1 [1,0,0,-23766,-1414204] 1 [8390:264423:8] 102410bu2 [1,0,0,169784,19012426] 1 [-570:20767:8]
102410bv (1 curve)	1	2- 5+ 7- 11- 19-	2-  1 5+ 7- 11- -4  7 19-
Curve Equation t Generators 102410bv1 [1,0,0,-3466,78280] 1 [36:4:1]
102410bw (2 curves)	1	2- 5+ 7- 11- 19-	2-  1 5+ 7- 11-  6 -3 19-
Curve Equation t Generators 102410bw1 [1,0,0,-2209901,-1277896495] 1 [1730:7935:1] 102410bw2 [1,0,0,14219799,44975468285] 1 [1210:252285:1]
102410bx (1 curve)	1	2- 5+ 7- 11- 19-	2- -1 5+ 7- 11-  6 -3 19-
Curve Equation t Generators 102410bx1 [1,1,1,174,7279] 1 [31:-225:1]
102410by (1 curve)	1	2- 5+ 7- 11- 19-	2- -3 5+ 7- 11- -4 -4 19-
Curve Equation t Generators 102410by1 [1,-1,1,-783,-10713] 1 [45:186:1]
102410bz (1 curve)	1	2- 5- 7+ 11+ 19+	2-  0 5- 7+ 11+  1  7 19+
Curve Equation t Generators 102410bz1 [1,-1,1,-622,-2621] 1 [-4589932:19872501:314432]
102410ca (1 curve)	0	2- 5- 7+ 11+ 19-	2-  2 5- 7+ 11+ -1 -5 19-
Curve Equation t 102410ca1 [1,1,1,-56645,-4452533] 1
102410cb (1 curve)	0	2- 5- 7+ 11- 19+	2-  3 5- 7+ 11-  4  4 19+
Curve Equation t 102410cb1 [1,-1,1,-38352,3751171] 1
102410cc (1 curve)	1	2- 5- 7+ 11- 19-	2-  1 5- 7+ 11-  5  2 19-
Curve Equation t Generators 102410cc1 [1,0,0,-895280,-176734048] 1 [-646:11818:1]
102410cd (2 curves)	0	2- 5- 7- 11+ 19+	2- -1 5- 7- 11+ -2  3 19+
Curve Equation t 102410cd1 [1,1,1,-5068855,-4394625075] 1 102410cd2 [1,1,1,-4193715,-5959159403] 1
102410ce (1 curve)	0	2- 5- 7- 11+ 19+	2- -1 5- 7- 11+  5  3 19+
Curve Equation t 102410ce1 [1,1,1,18574380,103590941845] 1
102410cf (2 curves)	0	2- 5- 7- 11+ 19+	2-  2 5- 7- 11+  1  3 19+
Curve Equation t 102410cf1 [1,1,1,-1520,-23255] 1 102410cf2 [1,1,1,-10830,416177] 1
102410cg (2 curves)	0	2- 5- 7- 11+ 19+	2-  2 5- 7- 11+  2  0 19+
Curve Equation t 102410cg1 [1,1,1,-1520,11857] 2 102410cg2 [1,1,1,-21120,1172177] 2
102410ch (2 curves)	1	2- 5- 7- 11+ 19-	2-  0 5- 7- 11+ -6  0 19-
Curve Equation t Generators 102410ch1 [1,-1,1,-183882,30449801] 2 [209:951:1] 102410ch2 [1,-1,1,-2943562,1944563849] 2 [989:-397:1]
102410ci (1 curve)	1	2- 5- 7- 11+ 19-	2-  1 5- 7- 11+ -2  7 19-
Curve Equation t Generators 102410ci1 [1,0,0,255582480,2799310726400] 1 [103240:-33660720:1]
102410cj (2 curves)	1	2- 5- 7- 11+ 19-	2- -2 5- 7- 11+  0 -2 19-
Curve Equation t Generators 102410cj1 [1,0,0,-4180,-86640] 2 [-38:152:1] 102410cj2 [1,0,0,8140,-498128] 2 [138:1736:1]
102410ck (1 curve)	1	2- 5- 7- 11+ 19-	2- -3 5- 7- 11+ -6  3 19-
Curve Equation t Generators 102410ck1 [1,-1,1,603,-65439] 1 [79:-726:1]
102410cl (2 curves)	1	2- 5- 7- 11- 19+	2-  0 5- 7- 11- -2  4 19+
Curve Equation t Generators 102410cl1 [1,-1,1,-6747,822539] 2 [59:762:1] 102410cl2 [1,-1,1,-179227,29178251] 2 [149:2326:1]
102410cm (1 curve)	1	2- 5- 7- 11- 19+	2-  1 5- 7- 11- -6  3 19+
Curve Equation t Generators 102410cm1 [1,0,0,8525,-2471183] 1 [132:913:1]
102410cn (2 curves)	1	2- 5- 7- 11- 19+	2- -1 5- 7- 11-  1 -6 19+
Curve Equation t Generators 102410cn1 [1,1,1,2155,-661893] 1 [307:5236:1] 102410cn2 [1,1,1,-19405,17940075] 1 [293:5978:1]
102410co (1 curve)	1	2- 5- 7- 11- 19+	2- -1 5- 7- 11- -1 -6 19+
Curve Equation t Generators 102410co1 [1,1,1,-8240,282897] 1 [7:471:1]
102410cp (1 curve)	1	2- 5- 7- 11- 19+	2- -1 5- 7- 11-  4 -7 19+
Curve Equation t Generators 102410cp1 [1,1,1,-169835,-27019875] 1 [1155:35744:1]
102410cq (1 curve)	2	2- 5- 7- 11- 19-	2- -1 5- 7- 11- -4 -7 19-
Curve Equation t Generators 102410cq1 [1,1,1,44295,2041927] 1 [-43:266:1]&[97:2646:1]
102410cr (2 curves)	0	2- 5- 7- 11- 19-	2-  2 5- 7- 11-  2  8 19-
Curve Equation t 102410cr1 [1,1,1,-508180,-139616975] 2 102410cr2 [1,1,1,-446930,-174455975] 2
102410cs (1 curve)	2	2- 5- 7- 11- 19-	2- -3 5- 7- 11- -4 -7 19-
Curve Equation t Generators 102410cs1 [1,-1,1,-5688927,5378164551] 1 [-2749:16774:1]&[1451:12574:1]

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

Part of Computational Number Theory
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