Cremona's table of elliptic curves

14450 = 2 · 5² · 17²

Class	r	Atkin-Lehner	Eigenvalues
14450a (1 curve)	1	2+ 5+ 17+	2+  1 5+  0  6  5 17+ -3
Curve Equation t Generators 14450a1 [1,0,1,3395599,2219014948] 1 [396757582:95274740638:6859]
14450b (2 curves)	1	2+ 5+ 17+	2+  1 5+ -1  0  4 17+ -4
Curve Equation t Generators 14450b1 [1,0,1,-1001,15148] 1 [67:466:1] 14450b2 [1,0,1,7499,-137852] 1 [1299:14962:27]
14450c (2 curves)	1	2+ 5+ 17+	2+  1 5+  2  0  1 17+ -1
Curve Equation t Generators 14450c1 [1,0,1,2882624,-584559602] 1 [8492:793441:1] 14450c2 [1,0,1,-47981376,-132054127602] 1 [35594810918196:2198341312023623:3560550183]
14450d (2 curves)	1	2+ 5+ 17+	2+  1 5+ -3  0 -1 17+  0
Curve Equation t Generators 14450d1 [1,0,1,104,358] 1 [41:251:1] 14450d2 [1,0,1,-9076,-334202] 1 [143:1067:1]
14450e (1 curve)	1	2+ 5+ 17+	2+ -1 5+  0 -6  5 17+ -3
Curve Equation t Generators 14450e1 [1,1,0,11750,456500] 1 [95:1515:1]
14450f (2 curves)	1	2+ 5+ 17+	2+ -1 5+  3  0 -1 17+  0
Curve Equation t Generators 14450f1 [1,1,0,30195,1729885] 1 [-5230:81223:125] 14450f2 [1,1,0,-2622825,-1639310375] 1 [1702640940:128094181931:274625]
14450g (4 curves)	1	2+ 5+ 17+	2+ -2 5+ -4 -6 -2 17+ -4
Curve Equation t Generators 14450g1 [1,0,1,-21826,766548] 2 [-27:1169:1] 14450g2 [1,0,1,-310826,66658548] 2 [398:2257:1] 14450g3 [1,0,1,-744326,-247195452] 2 [3322:182576:1] 14450g4 [1,0,1,-816576,-196331452] 2 [1962:74881:1]
14450h (2 curves)	0	2+ 5+ 17-	2+ -1 5+  1  0  4 17- -4
Curve Equation t 14450h1 [1,1,0,-289150,74712500] 1 14450h2 [1,1,0,2167350,-679433000] 1
14450i (2 curves)	0	2+ 5- 17+	2+  1 5-  2  0 -1 17+ -5
Curve Equation t 14450i1 [1,0,1,5629,205888] 1 14450i2 [1,0,1,-1345446,600574488] 1
14450j (1 curve)	0	2+ 5- 17+	2+ -1 5-  0  6  3 17+ -7
Curve Equation t 14450j1 [1,1,0,-130200,23704000] 1
14450k (2 curves)	2	2+ 5- 17+	2+ -1 5- -2  0 -1 17+ -5
Curve Equation t Generators 14450k1 [1,1,0,20,50] 1 [1:8:1]&[5:15:1] 14450k2 [1,1,0,-4655,120325] 1 [-15:440:1]&[35:25:1]
14450l (4 curves)	0	2+ 5- 17+	2+ -1 5- -2  3 -4 17+  5
Curve Equation t 14450l1 [1,1,0,-150,-8450] 1 14450l2 [1,1,0,-36275,-2674475] 1 14450l3 [1,1,0,-21825,1487125] 1 14450l4 [1,1,0,158800,-10976000] 1
14450m (1 curve)	0	2+ 5- 17+	2+ -1 5-  5 -4  3 17+ -2
Curve Equation t 14450m1 [1,1,0,9804175,-1914582875] 1
14450n (2 curves)	0	2+ 5- 17+	2+  2 5- -3 -3 -3 17+ -4
Curve Equation t 14450n1 [1,1,0,-660,-7600] 1 14450n2 [1,1,0,-878710,316677750] 1
14450o (1 curve)	0	2+ 5- 17+	2+  3 5-  1  4  3 17+  6
Curve Equation t 14450o1 [1,-1,0,2258,87716] 1
14450p (2 curves)	1	2+ 5- 17-	2+ -2 5-  3  3 -3 17- -4
Curve Equation t Generators 14450p1 [1,0,1,-3041,64278] 1 [32:-14:1] 14450p2 [1,0,1,-190891,-36002922] 1 [1911234:45982377:2197]
14450q (2 curves)	0	2- 5+ 17+	2-  0 5+  2  4  2 17+  8
Curve Equation t 14450q1 [1,-1,1,-145855,-5509853] 2 14450q2 [1,-1,1,-1374105,615984647] 2
14450r (2 curves)	0	2- 5+ 17+	2-  0 5+ -2 -4  2 17+  8
Curve Equation t 14450r1 [1,-1,1,-505,-1003] 2 14450r2 [1,-1,1,-4755,126497] 2
14450s (2 curves)	0	2- 5+ 17+	2-  1 5+  2  0 -5 17+ -1
Curve Equation t 14450s1 [1,0,0,-18213,3965417] 1 14450s2 [1,0,0,162412,-101700208] 1
14450t (4 curves)	0	2- 5+ 17+	2-  1 5+  2  3  4 17+  5
Curve Equation t 14450t1 [1,0,0,-873,11897] 1 14450t2 [1,0,0,6352,-87808] 1 14450t3 [1,0,0,-3763,-1048733] 1 14450t4 [1,0,0,-906888,-332495608] 1
14450u (1 curve)	0	2- 5+ 17+	2-  1 5+ -5 -4 -3 17+ -2
Curve Equation t 14450u1 [1,0,0,392167,-15316663] 1
14450v (2 curves)	0	2- 5+ 17+	2- -2 5+ -1  3  1 17+ -4
Curve Equation t 14450v1 [1,0,0,62,-258] 1 14450v2 [1,0,0,-2063,-36383] 1
14450w (4 curves)	0	2- 5+ 17+	2- -2 5+  2 -6 -2 17+  8
Curve Equation t 14450w1 [1,0,0,-18449188,30499006992] 2 14450w2 [1,0,0,-17871188,32499464992] 2 14450w3 [1,0,0,-30117563,-12516150383] 2 14450w4 [1,0,0,117850437,-99077430383] 2
14450x (2 curves)	0	2- 5+ 17+	2- -2 5+ -2  2  6 17+ -8
Curve Equation t 14450x1 [1,0,0,-54338,4218292] 2 14450x2 [1,0,0,90162,22858792] 2
14450y (1 curve)	0	2- 5+ 17+	2-  3 5+ -1 -2  6 17+  6
Curve Equation t 14450y1 [1,-1,1,-8743605,11089272397] 1
14450z (1 curve)	0	2- 5+ 17+	2-  3 5+  2  4  3 17+  3
Curve Equation t 14450z1 [1,-1,1,-73605,-7677353] 1
14450ba (2 curves)	0	2- 5+ 17+	2-  3 5+  4  2 -1 17+ -7
Curve Equation t 14450ba1 [1,-1,1,-1005630,571521997] 1 14450ba2 [1,-1,1,-911138880,-10586098442003] 1
14450bb (1 curve)	0	2- 5+ 17+	2- -3 5+ -1  4 -3 17+  6
Curve Equation t 14450bb1 [1,-1,1,56445,11020947] 1
14450bc (2 curves)	2	2- 5+ 17+	2- -3 5+ -4 -2 -1 17+ -7
Curve Equation t Generators 14450bc1 [1,-1,1,-3480,117147] 1 [-81923:-1989095:4913]&[-55:401:1] 14450bc2 [1,-1,1,-3152730,-2153969853] 1 [16662:132765:8]&[21822:770335:8]
14450bd (2 curves)	1	2- 5+ 17-	2-  2 5+  1 -3  1 17- -4
Curve Equation t Generators 14450bd1 [1,1,1,17912,-1285469] 1 [1759230:31942819:5832] 14450bd2 [1,1,1,-596213,-178153469] 1 [76935:3899144:27]
14450be (1 curve)	1	2- 5+ 17-	2- -3 5+  1  2  6 17-  6
Curve Equation t Generators 14450be1 [1,-1,1,-30255,2264247] 1 [-21:1710:1]
14450bf (1 curve)	1	2- 5- 17+	2-  1 5-  0  6 -3 17+ -7
Curve Equation t Generators 14450bf1 [1,0,0,-5208,189632] 1 [58:260:1]
14450bg (2 curves)	1	2- 5- 17+	2-  1 5-  2  0  1 17+ -5
Curve Equation t Generators 14450bg1 [1,0,0,487,5267] 1 [166:1167:8] 14450bg2 [1,0,0,-116388,15273392] 1 [202:24:1]
14450bh (2 curves)	1	2- 5- 17+	2-  1 5- -3  0  1 17+  0
Curve Equation t Generators 14450bh1 [1,0,0,-104913,-13114483] 1 [37503738710:2276390009823:9938375] 14450bh2 [1,0,0,754862,214725892] 1 [1758:82642:1]
14450bi (2 curves)	1	2- 5- 17+	2- -1 5- -2  0  1 17+ -5
Curve Equation t Generators 14450bi1 [1,1,1,140737,25736031] 1 [59310:5826141:1000] 14450bi2 [1,1,1,-33636138,75071811031] 1 [3299:3263:1]
14450bj (2 curves)	1	2- 5- 17+	2- -1 5-  3  0  1 17+  0
Curve Equation t Generators 14450bj1 [1,1,1,-363,-2819] 1 [35:152:1] 14450bj2 [1,1,1,2612,44781] 1 [35:407:1]
14450bk (2 curves)	1	2- 5- 17+	2- -2 5-  3 -3  3 17+ -4
Curve Equation t Generators 14450bk1 [1,0,0,-16513,-916983] 1 [202:1899:1] 14450bk2 [1,0,0,-21967763,39628654267] 1 [1623049362:-9569820431:636056]
14450bl (2 curves)	0	2- 5- 17-	2-  2 5- -3  3  3 17- -4
Curve Equation t 14450bl1 [1,1,1,-76013,8034781] 1 14450bl2 [1,1,1,-4772263,-4500365219] 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