Cremona's table of elliptic curves

111720 = 2³ · 3 · 5 · 7² · 19

Class	r	Atkin-Lehner	Eigenvalues
111720a (2 curves)	0	2+ 3+ 5+ 7- 19+	2+ 3+ 5+ 7-  2 -2  0 19+
Curve Equation t 111720a1 [0,-1,0,-537056,-147400644] 2 111720a2 [0,-1,0,135224,-492414740] 2
111720b (4 curves)	0	2+ 3+ 5+ 7- 19+	2+ 3+ 5+ 7-  4 -2 -2 19+
Curve Equation t 111720b1 [0,-1,0,-488791,131695516] 4 111720b2 [0,-1,0,-489036,131557140] 4 111720b3 [0,-1,0,-321456,222921756] 2 111720b4 [0,-1,0,-660536,31332540] 2
111720c (4 curves)	2	2+ 3+ 5+ 7- 19+	2+ 3+ 5+ 7- -4 -2  6 19+
Curve Equation t Generators 111720c1 [0,-1,0,4884,9780] 2 [26:392:1]&[254:4192:1] 111720c2 [0,-1,0,-19616,97980] 4 [-107:980:1]&[-22:720:1] 111720c3 [0,-1,0,-205816,-35726900] 2 [-259:372:1]&[625:8910:1] 111720c4 [0,-1,0,-225416,41175660] 2 [321:1338:1]&[1069:31948:1]
111720d (4 curves)	0	2+ 3+ 5+ 7- 19+	2+ 3+ 5+ 7- -4 -2  6 19+
Curve Equation t 111720d1 [0,-1,0,-12511,-241100] 2 111720d2 [0,-1,0,-100956,12211956] 4 111720d3 [0,-1,0,-7856,33773916] 2 111720d4 [0,-1,0,-1609176,786230460] 2
111720e (2 curves)	1	2+ 3+ 5+ 7- 19-	2+ 3+ 5+ 7- -2  4  2 19-
Curve Equation t Generators 111720e1 [0,-1,0,964,56820] 2 [70:680:1] 111720e2 [0,-1,0,-17656,853756] 2 [34:540:1]
111720f (1 curve)	1	2+ 3+ 5+ 7- 19-	2+ 3+ 5+ 7-  3  2  5 19-
Curve Equation t Generators 111720f1 [0,-1,0,284919,-24563475] 1 [363:11250:1]
111720g (1 curve)	1	2+ 3+ 5+ 7- 19-	2+ 3+ 5+ 7-  4 -1  3 19-
Curve Equation t Generators 111720g1 [0,-1,0,56824,-32364324] 1 [156206505490:78780661529228:614125]
111720h (4 curves)	1	2+ 3+ 5+ 7- 19-	2+ 3+ 5+ 7-  4  2 -6 19-
Curve Equation t Generators 111720h1 [0,-1,0,-26476,1593460] 2 [173:1470:1] 111720h2 [0,-1,0,-74496,-5763204] 4 [10890:1136016:1] 111720h3 [0,-1,0,186184,-37357620] 2 [87082:9092061:8] 111720h4 [0,-1,0,-1103496,-445763604] 2 [294555:30616082:27]
111720i (1 curve)	1	2+ 3+ 5+ 7- 19-	2+ 3+ 5+ 7- -6  4  6 19-
Curve Equation t Generators 111720i1 [0,-1,0,-524561,-522229035] 1 [6769:553202:1]
111720j (4 curves)	1	2+ 3+ 5- 7- 19+	2+ 3+ 5- 7-  4 -6 -6 19+
Curve Equation t Generators 111720j1 [0,-1,0,-11580,-2624460] 2 [516352606:-17263020944:456533] 111720j2 [0,-1,0,-365360,-84559908] 4 [-116074:157872:343] 111720j3 [0,-1,0,-551560,10997932] 2 [762061027:-16619317506:753571] 111720j4 [0,-1,0,-5839640,-5429646900] 2 [-46567231382:296335325:33386248]
111720k (4 curves)	1	2+ 3+ 5- 7- 19+	2+ 3+ 5- 7- -4  2  2 19+
Curve Equation t Generators 111720k1 [0,-1,0,31540,5090100] 2 [-50:1840:1] 111720k2 [0,-1,0,-322240,61836412] 4 [-446:10800:1] 111720k3 [0,-1,0,-1327720,-525766100] 2 [4065:247450:1] 111720k4 [0,-1,0,-4977240,4275542412] 2 [4209:240570:1]
111720l (1 curve)	1	2+ 3+ 5- 7- 19+	2+ 3+ 5- 7- -5  6  3 19+
Curve Equation t Generators 111720l1 [0,-1,0,495,2997] 1 [9:-90:1]
111720m (4 curves)	0	2+ 3+ 5- 7- 19-	2+ 3+ 5- 7-  0  2  2 19-
Curve Equation t 111720m1 [0,-1,0,-7494615,-4120758900] 4 111720m2 [0,-1,0,-103197740,-403317633900] 4 111720m3 [0,-1,0,-86660240,-536920788900] 2 111720m4 [0,-1,0,-1650985240,-25819845728900] 2
111720n (1 curve)	2	2+ 3+ 5- 7- 19-	2+ 3+ 5- 7-  0 -4 -4 19-
Curve Equation t Generators 111720n1 [0,-1,0,-7905,279525] 1 [145:1470:1]&[47:-98:1]
111720o (4 curves)	0	2+ 3+ 5- 7- 19-	2+ 3+ 5- 7-  0  6  6 19-
Curve Equation t 111720o1 [0,-1,0,-529340940,-558126024588] 2 111720o2 [0,-1,0,-6178845920,-186564687788100] 4 111720o3 [0,-1,0,-3943514920,-323355321266900] 2 111720o4 [0,-1,0,-98806256600,-11954284399253748] 2
111720p (1 curve)	0	2+ 3+ 5- 7- 19-	2+ 3+ 5- 7-  3  3 -1 19-
Curve Equation t 111720p1 [0,-1,0,52120,-22610580] 1
111720q (1 curve)	0	2+ 3+ 5- 7- 19-	2+ 3+ 5- 7- -3  0  3 19-
Curve Equation t 111720q1 [0,-1,0,-156865,-25043675] 1
111720r (1 curve)	2	2+ 3- 5+ 7+ 19+	2+ 3- 5+ 7+ -3  0 -3 19+
Curve Equation t Generators 111720r1 [0,1,0,-3201,72099] 1 [-66:15:1]&[-33:-378:1]
111720s (1 curve)	1	2+ 3- 5+ 7+ 19-	2+ 3- 5+ 7+ -5 -6 -3 19-
Curve Equation t Generators 111720s1 [0,1,0,24239,-1076461] 1 [359:-7350:1]
111720t (4 curves)	1	2+ 3- 5+ 7- 19+	2+ 3- 5+ 7-  0  2  6 19+
Curve Equation t Generators 111720t1 [0,1,0,-4671,-241746] 2 [22829:3449355:1] 111720t2 [0,1,0,-93116,-10961280] 4 [-380432:52632:2197] 111720t3 [0,1,0,-111736,-6283936] 2 [-148:2652:1] 111720t4 [0,1,0,-1489616,-700273680] 2 [-985174689642:425721633:1397415032]
111720u (1 curve)	1	2+ 3- 5+ 7- 19+	2+ 3- 5+ 7-  5  1  0 19+
Curve Equation t Generators 111720u1 [0,1,0,21544,885744] 1 [-5:882:1]
111720v (2 curves)	0	2+ 3- 5+ 7- 19-	2+ 3- 5+ 7-  2  6  0 19-
Curve Equation t 111720v1 [0,1,0,-164656,15455600] 2 111720v2 [0,1,0,507624,110112624] 2
111720w (4 curves)	0	2+ 3- 5+ 7- 19-	2+ 3- 5+ 7-  4 -2 -6 19-
Curve Equation t 111720w1 [0,1,0,964,-19776] 2 111720w2 [0,1,0,-7856,-224400] 4 111720w3 [0,1,0,-37256,2550960] 2 111720w4 [0,1,0,-119576,-15954576] 2
111720x (1 curve)	1	2+ 3- 5- 7+ 19+	2+ 3- 5- 7+  3 -2 -5 19+
Curve Equation t Generators 111720x1 [0,1,0,5815,73275] 1 [-5:-210:1]
111720y (1 curve)	1	2+ 3- 5- 7+ 19+	2+ 3- 5- 7+  4  1 -3 19+
Curve Equation t Generators 111720y1 [0,1,0,1160,94688] 1 [-4:300:1]
111720z (1 curve)	2	2+ 3- 5- 7- 19+	2+ 3- 5- 7- -6 -4 -6 19+
Curve Equation t Generators 111720z1 [0,1,0,-10705,1519475] 1 [-85:1350:1]&[65:-1050:1]
111720ba (2 curves)	1	2- 3+ 5+ 7- 19+	2- 3+ 5+ 7-  2 -2 -6 19+
Curve Equation t Generators 111720ba1 [0,-1,0,-4916,934116] 2 [-14:1000:1] 111720ba2 [0,-1,0,-176416,28442716] 2 [-114:6860:1]
111720bb (1 curve)	1	2- 3+ 5+ 7- 19+	2- 3+ 5+ 7-  5 -5  3 19+
Curve Equation t Generators 111720bb1 [0,-1,0,-2256,-103284] 1 [7905:6804:125]
111720bc (4 curves)	2	2- 3+ 5+ 7- 19-	2- 3+ 5+ 7-  0 -2 -2 19-
Curve Equation t Generators 111720bc1 [0,-1,0,-4671,124440] 2 [41:13:1]&[56:188:1] 111720bc2 [0,-1,0,-4916,110916] 4 [-72:294:1]&[-44:490:1] 111720bc3 [0,-1,0,9784,634236] 2 [-42:384:1]&[-2:784:1] 111720bc4 [0,-1,0,-23536,-1281860] 2 [-82:300:1]&[-71:162:1]
111720bd (6 curves)	0	2- 3+ 5+ 7- 19-	2- 3+ 5+ 7-  4  2 -2 19-
Curve Equation t 111720bd1 [0,-1,0,14929,1453320] 2 111720bd2 [0,-1,0,-138196,17010820] 4 111720bd3 [0,-1,0,-603696,-163789380] 2 111720bd4 [0,-1,0,-2122696,1191041020] 4 111720bd5 [0,-1,0,-2034496,1294446700] 2 111720bd6 [0,-1,0,-33962896,76193816140] 2
111720be (1 curve)	2	2- 3+ 5+ 7- 19-	2- 3+ 5+ 7- -5  2  1 19-
Curve Equation t Generators 111720be1 [0,-1,0,-6841,221005] 1 [-89:342:1]&[63:190:1]
111720bf (2 curves)	0	2- 3+ 5+ 7- 19-	2- 3+ 5+ 7- -6 -2  4 19-
Curve Equation t 111720bf1 [0,-1,0,-9091752056,-333668757555300] 2 111720bf2 [0,-1,0,-9091079776,-333720570712724] 2
111720bg (1 curve)	0	2- 3+ 5- 7+ 19-	2- 3+ 5- 7+  4  5  1 19-
Curve Equation t 111720bg1 [0,-1,0,-384960,114231132] 1
111720bh (2 curves)	0	2- 3+ 5- 7- 19+	2- 3+ 5- 7- -4  2  0 19+
Curve Equation t 111720bh1 [0,-1,0,1160,2332] 2 111720bh2 [0,-1,0,-4720,23500] 2
111720bi (1 curve)	1	2- 3+ 5- 7- 19-	2- 3+ 5- 7-  1 -1 -6 19-
Curve Equation t Generators 111720bi1 [0,-1,0,-83120,16220940] 1 [2581:130340:1]
111720bj (1 curve)	1	2- 3+ 5- 7- 19-	2- 3+ 5- 7- -2 -4  6 19-
Curve Equation t Generators 111720bj1 [0,-1,0,1055,3445] 1 [12:133:1]
111720bk (1 curve)	1	2- 3+ 5- 7- 19-	2- 3+ 5- 7-  3 -5 -8 19-
Curve Equation t Generators 111720bk1 [0,-1,0,-46460640,122048917740] 1 [472705:2554664:125]
111720bl (4 curves)	1	2- 3+ 5- 7- 19-	2- 3+ 5- 7- -4  2 -6 19-
Curve Equation t Generators 111720bl1 [0,-1,0,-66215,-5920200] 2 [-135:735:1] 111720bl2 [0,-1,0,-244820,40231332] 4 [-296:9310:1] 111720bl3 [0,-1,0,416680,219365532] 2 [-26:14440:1] 111720bl4 [0,-1,0,-3764000,2811937500] 2 [1150:1700:1]
111720bm (2 curves)	0	2- 3- 5+ 7- 19+	2- 3- 5+ 7-  0  2 -4 19+
Curve Equation t 111720bm1 [0,1,0,684024,-178047360] 2 111720bm2 [0,1,0,-3602496,-1621747296] 2
111720bn (1 curve)	0	2- 3- 5+ 7- 19+	2- 3- 5+ 7-  1  1  6 19+
Curve Equation t 111720bn1 [0,1,0,-1696,-47776] 1
111720bo (1 curve)	0	2- 3- 5+ 7- 19+	2- 3- 5+ 7- -2  4 -6 19+
Curve Equation t 111720bo1 [0,1,0,51679,-1285005] 1
111720bp (1 curve)	0	2- 3- 5+ 7- 19+	2- 3- 5+ 7-  4 -5 -1 19+
Curve Equation t 111720bp1 [0,1,0,-7856,-335280] 1
111720bq (1 curve)	0	2- 3- 5+ 7- 19+	2- 3- 5+ 7- -4 -4 -8 19+
Curve Equation t 111720bq1 [0,1,0,-25373441,-49275327501] 1
111720br (2 curves)	0	2- 3- 5+ 7- 19+	2- 3- 5+ 7-  6 -4  2 19+
Curve Equation t 111720br1 [0,1,0,-996,22560] 2 111720br2 [0,1,0,-19616,1050384] 2
111720bs (6 curves)	1	2- 3- 5+ 7- 19-	2- 3- 5+ 7-  4 -6 -2 19-
Curve Equation t Generators 111720bs1 [0,1,0,30609,-10145430] 2 [234:3144:1] 111720bs2 [0,1,0,-557636,-150618336] 4 [-488:2352:1] 111720bs3 [0,1,0,-1758136,715662464] 4 [-565:39102:1] 111720bs4 [0,1,0,-8769056,-9997753200] 2 [8287:697500:1] 111720bs5 [0,1,0,3798464,4329675104] 2 [515:80142:1] 111720bs6 [0,1,0,-26522736,52562829024] 2 [4755:184338:1]
111720bt (1 curve)	0	2- 3- 5- 7+ 19+	2- 3- 5- 7+ -5 -2 -1 19+
Curve Equation t 111720bt1 [0,1,0,-335225,-75134277] 1
111720bu (2 curves)	0	2- 3- 5- 7- 19-	2- 3- 5- 7-  2  2  6 19-
Curve Equation t 111720bu1 [0,1,0,-100,-2752] 2 111720bu2 [0,1,0,-3600,-83952] 2
111720bv (1 curve)	0	2- 3- 5- 7- 19-	2- 3- 5- 7-  5  5 -3 19-
Curve Equation t 111720bv1 [0,1,0,-110560,35647520] 1

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