Cremona's table of elliptic curves

23120 = 2⁴ · 5 · 17²

Class	r	Atkin-Lehner	Eigenvalues
23120a (4 curves)	1	2+ 5+ 17+	2+  0 5+ -4  4 -2 17+ -4
Curve Equation t Generators 23120a1 [0,0,0,-578,-4913] 2 [178568:3326679:512] 23120a2 [0,0,0,-2023,29478] 4 [-47:144:1] 23120a3 [0,0,0,3757,167042] 2 [34:578:1] 23120a4 [0,0,0,-30923,2092938] 2 [-187:1156:1]
23120b (1 curve)	1	2+ 5+ 17+	2+ -1 5+  2  4 -1 17+  1
Curve Equation t Generators 23120b1 [0,-1,0,-96,98656] 1 [108:1156:1]
23120c (1 curve)	1	2+ 5+ 17+	2+ -1 5+  4 -2  1 17+ -5
Curve Equation t Generators 23120c1 [0,-1,0,-776,-8240] 1 [74:578:1]
23120d (2 curves)	1	2+ 5+ 17+	2+  2 5+  2 -2  2 17+ -8
Curve Equation t Generators 23120d1 [0,-1,0,-1023156,398687456] 2 [-18708:751400:27] 23120d2 [0,-1,0,-1017376,403408560] 2 [42378:3031899:8]
23120e (1 curve)	1	2+ 5+ 17+	2+  2 5+  2 -5  2 17+  1
Curve Equation t Generators 23120e1 [0,-1,0,-111361,-14056275] 1 [-154681290943354956:-220141352903153277:878227099303744]
23120f (1 curve)	1	2+ 5+ 17+	2+  2 5+ -3  5 -3 17+ -4
Curve Equation t Generators 23120f1 [0,-1,0,2624,-1440] 1 [36:372:1]
23120g (1 curve)	0	2+ 5+ 17-	2+  1 5+  3  4  0 17-  8
Curve Equation t 23120g1 [0,1,0,-96,-5020] 1
23120h (1 curve)	0	2+ 5+ 17-	2+ -3 5+  3  0  4 17-  4
Curve Equation t 23120h1 [0,0,0,-54043,4844218] 1
23120i (4 curves)	0	2+ 5- 17+	2+  0 5-  0  0 -2 17+  4
Curve Equation t 23120i1 [0,0,0,-41327,-3232754] 2 23120i2 [0,0,0,-47107,-2269806] 4 23120i3 [0,0,0,149413,-16301334] 4 23120i4 [0,0,0,-336107,73390394] 2
23120j (1 curve)	0	2+ 5- 17+	2+  1 5- -4  2  1 17+ -5
Curve Equation t 23120j1 [0,1,0,-224360,-41829100] 1
23120k (1 curve)	0	2+ 5- 17+	2+ -1 5- -3 -4  0 17+  8
Curve Equation t 23120k1 [0,-1,0,-27840,-24496400] 1
23120l (1 curve)	0	2+ 5- 17+	2+  3 5- -3  0  4 17+  4
Curve Equation t 23120l1 [0,0,0,-187,986] 1
23120m (1 curve)	1	2+ 5- 17-	2+ -2 5- -2  5  2 17-  1
Curve Equation t Generators 23120m1 [0,1,0,-385,-2997] 1 [-86:31:8]
23120n (1 curve)	1	2+ 5- 17-	2+ -2 5-  3 -5 -3 17- -4
Curve Equation t Generators 23120n1 [0,1,0,758240,-2525100] 1 [1830:86700:1]
23120o (2 curves)	2	2- 5+ 17+	2-  0 5+ -2  4 -2 17+ -8
Curve Equation t Generators 23120o1 [0,0,0,-323,578] 2 [-17:34:1]&[-1:30:1] 23120o2 [0,0,0,-3043,-64158] 2 [-33:18:1]&[66:150:1]
23120p (1 curve)	0	2- 5+ 17+	2-  1 5+  0 -6 -5 17+  3
Curve Equation t 23120p1 [0,1,0,2173184,-1135266380] 1
23120q (2 curves)	0	2- 5+ 17+	2-  1 5+  2  0  5 17+  1
Curve Equation t 23120q1 [0,1,0,-11656,-2034956] 1 23120q2 [0,1,0,103944,52112084] 1
23120r (2 curves)	0	2- 5+ 17+	2- -2 5+  2 -3  2 17+  7
Curve Equation t 23120r1 [0,1,0,-181,675] 1 23120r2 [0,1,0,-13781,618115] 1
23120s (2 curves)	2	2- 5+ 17+	2- -2 5+ -2 -2 -6 17+  8
Curve Equation t Generators 23120s1 [0,1,0,-34776,-2173676] 2 [-108:578:1]&[-76:190:1] 23120s2 [0,1,0,57704,-11680620] 2 [436:9826:1]&[9172:878750:1]
23120t (1 curve)	2	2- 5+ 17+	2- -2 5+ -2 -5  6 17+ -7
Curve Equation t Generators 23120t1 [0,1,0,-181,879] 1 [2:23:1]&[7:2:1]
23120u (2 curves)	0	2- 5+ 17+	2-  3 5+  4 -2  1 17+  7
Curve Equation t 23120u1 [0,0,0,-643603,-292490542] 1 23120u2 [0,0,0,-583128883,5420199028082] 1
23120v (1 curve)	1	2- 5+ 17-	2-  0 5+ -2  1  0 17- -3
Curve Equation t Generators 23120v1 [0,0,0,-78608,7683932] 1 [202:218:1]
23120w (1 curve)	1	2- 5+ 17-	2-  1 5+  5 -2  2 17- -6
Curve Equation t Generators 23120w1 [0,1,0,11464,-324076] 1 [589444:7170914:12167]
23120x (2 curves)	1	2- 5+ 17-	2- -1 5+  1  0 -4 17-  4
Curve Equation t Generators 23120x1 [0,-1,0,-185056,-38252800] 1 [16666:2150738:1] 23120x2 [0,-1,0,1387104,347869696] 1 [406002146:52514956730:24389]
23120y (2 curves)	1	2- 5+ 17-	2-  2 5+  1  3 -1 17-  4
Curve Equation t Generators 23120y1 [0,-1,0,11464,658160] 1 [1060:34680:1] 23120y2 [0,-1,0,-381576,91214576] 1 [1124:32880:1]
23120z (1 curve)	1	2- 5+ 17-	2- -3 5+  1 -2 -6 17- -6
Curve Equation t Generators 23120z1 [0,0,0,-19363,-1155422] 1 [191:1454:1]
23120ba (1 curve)	1	2- 5- 17+	2-  0 5-  2 -1  0 17+ -3
Curve Equation t Generators 23120ba1 [0,0,0,-272,1564] 1 [18:50:1]
23120bb (2 curves)	1	2- 5- 17+	2-  0 5-  2 -4 -2 17+ -8
Curve Equation t Generators 23120bb1 [0,0,0,-93347,2839714] 2 [-111:3440:1] 23120bb2 [0,0,0,-879427,-315208254] 2 [-63005:7482:125]
23120bc (2 curves)	1	2- 5- 17+	2-  0 5- -4  2 -6 17+  0
Curve Equation t Generators 23120bc1 [0,0,0,-8092,-280041] 2 [48955487180:-2986800218517:13144256] 23120bc2 [0,0,0,-6647,-383214] 2 [119170:14544503:8]
23120bd (2 curves)	1	2- 5- 17+	2-  1 5- -1  0 -4 17+  4
Curve Equation t Generators 23120bd1 [0,1,0,-640,-8012] 1 [36:130:1] 23120bd2 [0,1,0,4800,72500] 1 [100:1250:1]
23120be (2 curves)	1	2- 5- 17+	2-  1 5-  2  0 -1 17+  1
Curve Equation t Generators 23120be1 [0,1,0,1844880,300032468] 1 [2476:141610:1] 23120be2 [0,1,0,-30708080,67599430100] 1 [3020:49130:1]
23120bf (1 curve)	1	2- 5- 17+	2- -1 5-  0  6 -5 17+  3
Curve Equation t Generators 23120bf1 [0,-1,0,7520,-233728] 1 [74:850:1]
23120bg (1 curve)	1	2- 5- 17+	2- -1 5- -5  2  2 17+ -6
Curve Equation t Generators 23120bg1 [0,-1,0,40,-80] 1 [2:2:1]
23120bh (2 curves)	1	2- 5- 17+	2-  2 5- -2  2  2 17+  0
Curve Equation t Generators 23120bh1 [0,-1,0,-39400,3007152] 2 [-198:1734:1] 23120bh2 [0,-1,0,-16280,6484400] 2 [3610:216750:1]
23120bi (2 curves)	1	2- 5- 17+	2- -2 5- -1 -3 -1 17+  4
Curve Equation t Generators 23120bi1 [0,1,0,40,148] 1 [-2:8:1] 23120bi2 [0,1,0,-1320,18100] 1 [30:-80:1]
23120bj (4 curves)	1	2- 5- 17+	2- -2 5-  2  0  2 17+  4
Curve Equation t Generators 23120bj1 [0,1,0,-385,-2130] 2 [-23374:64988:2197] 23120bj2 [0,1,0,1060,-13112] 2 [1754:26299:8] 23120bj3 [0,1,0,-11945,498418] 2 [46:220:1] 23120bj4 [0,1,0,-10500,625000] 2 [215:2890:1]
23120bk (4 curves)	1	2- 5- 17+	2- -2 5-  2  6  2 17+ -8
Curve Equation t Generators 23120bk1 [0,1,0,-11807480,-15620214572] 2 [-84950740:-18266534:42875] 23120bk2 [0,1,0,-11437560,-16644301100] 2 [1144094165060:-159507760516754:57066625] 23120bk3 [0,1,0,-19275240,6400558900] 2 [-3780:158950:1] 23120bk4 [0,1,0,75424280,50757814068] 2 [50756:11603350:1]
23120bl (1 curve)	1	2- 5- 17+	2-  3 5- -1  2 -6 17+ -6
Curve Equation t Generators 23120bl1 [0,0,0,-5595907,-5676588286] 1 [83654564025960052342772406174340495639641165988465789444850625:10084280539308073741071955218570911878969939114474522827029105122:5602469498577984917445133873605991819597057532185954452591]
23120bm (1 curve)	1	2- 5- 17+	2-  3 5-  2 -4 -3 17+ -3
Curve Equation t Generators 23120bm1 [0,0,0,-47107,3940226] 1 [3315:2312:27]
23120bn (2 curves)	1	2- 5- 17+	2- -3 5- -4  2  1 17+  7
Curve Equation t Generators 23120bn1 [0,0,0,-2227,-59534] 1 [425:8704:1] 23120bn2 [0,0,0,-2017747,1103236114] 1 [2193:-85000:1]
23120bo (1 curve)	0	2- 5- 17-	2-  2 5-  2  5  6 17- -7
Curve Equation t 23120bo1 [0,-1,0,-52405,4632777] 1
23120bp (2 curves)	0	2- 5- 17-	2-  2 5- -2  3  2 17-  7
Curve Equation t 23120bp1 [0,-1,0,-52405,3630525] 1 23120bp2 [0,-1,0,-3982805,3060695645] 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