Cremona's table of elliptic curves

32850 = 2 · 3² · 5² · 73

Class	r	Atkin-Lehner	Eigenvalues
32850a (2 curves)	0	2+ 3+ 5+ 73-	2+ 3+ 5+  0  0  6  0 -4
Curve Equation t 32850a1 [1,-1,0,3333,104741] 2 32850a2 [1,-1,0,-23667,1103741] 2
32850b (1 curve)	0	2+ 3+ 5+ 73-	2+ 3+ 5+  2  0  1  5  4
Curve Equation t 32850b1 [1,-1,0,93,3221] 1
32850c (1 curve)	0	2+ 3+ 5- 73+	2+ 3+ 5-  1  2 -4  4  4
Curve Equation t 32850c1 [1,-1,0,-492,-5834] 1
32850d (1 curve)	0	2+ 3+ 5- 73+	2+ 3+ 5- -2  0 -1  5  4
Curve Equation t 32850d1 [1,-1,0,258,-15084] 1
32850e (1 curve)	1	2+ 3+ 5- 73-	2+ 3+ 5- -1 -2  4  4  4
Curve Equation t Generators 32850e1 [1,-1,0,-177,1331] 1 [19:58:1]
32850f (2 curves)	2	2+ 3- 5+ 73+	2+ 3- 5+  0 -2  0 -6 -8
Curve Equation t Generators 32850f1 [1,-1,0,-1692,-9284] 2 [-37:59:1]&[-31:128:1] 32850f2 [1,-1,0,-21942,-1244534] 2 [-87:59:1]&[-85:74:1]
32850g (3 curves)	0	2+ 3- 5+ 73+	2+ 3- 5+  1  0  4  0  2
Curve Equation t 32850g1 [1,-1,0,-3042,-618134] 1 32850g2 [1,-1,0,27333,16543741] 1 32850g3 [1,-1,0,-4161042,3268940116] 1
32850h (1 curve)	0	2+ 3- 5+ 73+	2+ 3- 5+  1  2  2  2  0
Curve Equation t 32850h1 [1,-1,0,33183,1637091] 1
32850i (1 curve)	0	2+ 3- 5+ 73+	2+ 3- 5+  1  3  2  6  6
Curve Equation t 32850i1 [1,-1,0,-942,10466] 1
32850j (1 curve)	0	2+ 3- 5+ 73+	2+ 3- 5+ -1 -5  4  2  0
Curve Equation t 32850j1 [1,-1,0,-549042,-156449134] 1
32850k (2 curves)	0	2+ 3- 5+ 73+	2+ 3- 5+  2 -2 -2  2  0
Curve Equation t 32850k1 [1,-1,0,-194667,31892741] 2 32850k2 [1,-1,0,93333,118004741] 2
32850l (1 curve)	0	2+ 3- 5+ 73+	2+ 3- 5+ -2  2 -4 -7 -3
Curve Equation t 32850l1 [1,-1,0,-120942,-16186284] 1
32850m (2 curves)	0	2+ 3- 5+ 73+	2+ 3- 5+ -2  6  2 -6  0
Curve Equation t 32850m1 [1,-1,0,-213567,-37934659] 2 32850m2 [1,-1,0,-209067,-39613159] 2
32850n (2 curves)	0	2+ 3- 5+ 73+	2+ 3- 5+ -2 -6  4 -3  5
Curve Equation t 32850n1 [1,-1,0,-405567,178448341] 1 32850n2 [1,-1,0,-39639942,96071057716] 1
32850o (2 curves)	0	2+ 3- 5+ 73+	2+ 3- 5+  4  0  4 -3  5
Curve Equation t 32850o1 [1,-1,0,21708,2241616] 1 32850o2 [1,-1,0,-881667,319654741] 1
32850p (2 curves)	0	2+ 3- 5+ 73+	2+ 3- 5+  4  3  4  0  2
Curve Equation t 32850p1 [1,-1,0,243,64741] 1 32850p2 [1,-1,0,-114732,14988496] 1
32850q (1 curve)	0	2+ 3- 5+ 73+	2+ 3- 5+  4  5 -4  8  6
Curve Equation t 32850q1 [1,-1,0,-5742,218916] 1
32850r (4 curves)	0	2+ 3- 5+ 73+	2+ 3- 5+  4  6  4 -6  8
Curve Equation t 32850r1 [1,-1,0,-437742,-111071084] 2 32850r2 [1,-1,0,-6998742,-7124780084] 2 32850r3 [1,-1,0,-2169117,1138161541] 2 32850r4 [1,-1,0,-7353117,-6363086459] 2
32850s (1 curve)	1	2+ 3- 5+ 73-	2+ 3- 5+  0  0  0  3  5
Curve Equation t Generators 32850s1 [1,-1,0,-567,10341] 1 [-21:123:1]
32850t (1 curve)	1	2+ 3- 5+ 73-	2+ 3- 5+ -1  2  6  2 -4
Curve Equation t Generators 32850t1 [1,-1,0,1683,14341] 1 [-1:113:1]
32850u (1 curve)	1	2+ 3- 5+ 73-	2+ 3- 5+  2  2  0  3  5
Curve Equation t Generators 32850u1 [1,-1,0,-255042,69051366] 1 [129:6123:1]
32850v (2 curves)	1	2+ 3- 5+ 73-	2+ 3- 5+  2  2  0 -4 -4
Curve Equation t Generators 32850v1 [1,-1,0,-250317,-45098159] 2 [668:8909:1] 32850v2 [1,-1,0,-797067,220075591] 2 [59:13133:1]
32850w (2 curves)	1	2+ 3- 5+ 73-	2+ 3- 5+  2 -2 -4  4 -4
Curve Equation t Generators 32850w1 [1,-1,0,-29142,1846516] 2 [29:998:1] 32850w2 [1,-1,0,-461142,120646516] 2 [119:8153:1]
32850x (2 curves)	1	2+ 3- 5+ 73-	2+ 3- 5+  2 -4  6  0 -4
Curve Equation t Generators 32850x1 [1,-1,0,-1242,2916] 2 [0:54:1] 32850x2 [1,-1,0,-14742,691416] 2 [18:648:1]
32850y (1 curve)	1	2+ 3- 5+ 73-	2+ 3- 5+ -3 -3  0  6 -4
Curve Equation t Generators 32850y1 [1,-1,0,-426942,-101074284] 1 [-141113:823019:343]
32850z (1 curve)	1	2+ 3- 5- 73+	2+ 3- 5-  0  3  0 -6  2
Curve Equation t Generators 32850z1 [1,-1,0,17433,3727741] 1 [494:11273:1]
32850ba (1 curve)	1	2+ 3- 5- 73+	2+ 3- 5-  1 -1 -4 -2 -2
Curve Equation t Generators 32850ba1 [1,-1,0,-1647,-22739] 1 [-21:58:1]
32850bb (1 curve)	0	2+ 3- 5- 73-	2+ 3- 5-  2 -2  1 -1  6
Curve Equation t 32850bb1 [1,-1,0,108,1966] 1
32850bc (1 curve)	0	2+ 3- 5- 73-	2+ 3- 5-  4 -4 -4 -3  3
Curve Equation t 32850bc1 [1,-1,0,-1242,-197834] 1
32850bd (2 curves)	1	2- 3+ 5+ 73-	2- 3+ 5+  0  0  6  0 -4
Curve Equation t Generators 32850bd1 [1,-1,1,370,-4003] 2 [15:61:1] 32850bd2 [1,-1,1,-2630,-40003] 2 [-21:85:1]
32850be (1 curve)	1	2- 3+ 5+ 73-	2- 3+ 5+  2  0  1 -5  4
Curve Equation t Generators 32850be1 [1,-1,1,10,-123] 1 [5:3:1]
32850bf (1 curve)	1	2- 3+ 5- 73+	2- 3+ 5-  1 -2 -4 -4  4
Curve Equation t Generators 32850bf1 [1,-1,1,-4430,161947] 1 [3316:15185:64]
32850bg (1 curve)	1	2- 3+ 5- 73+	2- 3+ 5- -2  0 -1 -5  4
Curve Equation t Generators 32850bg1 [1,-1,1,2320,404947] 1 [19:-685:1]
32850bh (1 curve)	0	2- 3+ 5- 73-	2- 3+ 5- -1  2  4 -4  4
Curve Equation t 32850bh1 [1,-1,1,-20,-43] 1
32850bi (1 curve)	1	2- 3- 5+ 73+	2- 3- 5+  1  1  2 -2 -6
Curve Equation t Generators 32850bi1 [1,-1,1,-5855,-167353] 1 [-41:70:1]
32850bj (1 curve)	1	2- 3- 5+ 73+	2- 3- 5+  1  4 -4  4 -6
Curve Equation t Generators 32850bj1 [1,-1,1,-4258355,3464864147] 1 [699:28450:1]
32850bk (1 curve)	1	2- 3- 5+ 73+	2- 3- 5+  2 -2  0 -3  1
Curve Equation t Generators 32850bk1 [1,-1,1,13270,-606103] 1 [129:-1865:1]
32850bl (2 curves)	1	2- 3- 5+ 73+	2- 3- 5+  2 -4 -4 -2  4
Curve Equation t Generators 32850bl1 [1,-1,1,-2930,61197] 2 [5:213:1] 32850bl2 [1,-1,1,-680,151197] 2 [190:2979:8]
32850bm (4 curves)	1	2- 3- 5+ 73+	2- 3- 5+ -2  0  4  6 -4
Curve Equation t Generators 32850bm1 [1,-1,1,-211055,32067447] 2 [83:3846:1] 32850bm2 [1,-1,1,364945,176067447] 2 [99:-14650:1] 32850bm3 [1,-1,1,-16411055,25593075447] 2 [2333:-654:1] 32850bm4 [1,-1,1,-16402055,25622541447] 2 [2633:24846:1]
32850bn (1 curve)	1	2- 3- 5+ 73+	2- 3- 5+ -2 -2 -1  1  6
Curve Equation t Generators 32850bn1 [1,-1,1,2695,248447] 1 [-330:2213:8]
32850bo (4 curves)	1	2- 3- 5+ 73+	2- 3- 5+  4  0  2 -6 -4
Curve Equation t Generators 32850bo1 [1,-1,1,-4280,-83653] 2 [-27:121:1] 32850bo2 [1,-1,1,-22280,1212347] 4 [-81:1615:1] 32850bo3 [1,-1,1,18220,5100347] 2 [-27:2155:1] 32850bo4 [1,-1,1,-350780,80052347] 2 [649:10875:1]
32850bp (4 curves)	1	2- 3- 5+ 73+	2- 3- 5+ -4  4  6 -6  4
Curve Equation t Generators 32850bp1 [1,-1,1,-1925105,-1027605103] 2 [125349:44313850:1] 32850bp2 [1,-1,1,-1929605,-1022556103] 4 [3057136935:1080770426354:24389] 32850bp3 [1,-1,1,-523355,-2482243603] 2 [227140870522843847340:-80529682034502632864317:1812099813903296] 32850bp4 [1,-1,1,-3407855,760213397] 2 [8424944506907370030:-2986731650560621770649:67210640570312]
32850bq (4 curves)	1	2- 3- 5+ 73+	2- 3- 5+ -4 -4  2 -2  4
Curve Equation t Generators 32850bq1 [1,-1,1,-76205480,196785111147] 2 [2885:29193:1] 32850bq2 [1,-1,1,-1139087480,14796532263147] 4 [-146113015393:7793469604575:3869893] 32850bq3 [1,-1,1,-1059261980,16958845407147] 2 [-1764593377313765:95276440462373301:47084988131] 32850bq4 [1,-1,1,-18225024980,947005282263147] 2 [11136730101161911115:-5575232472603200823:142883412913639]
32850br (1 curve)	1	2- 3- 5+ 73+	2- 3- 5+  5  2  2 -2 -8
Curve Equation t Generators 32850br1 [1,-1,1,-58505,-12208503] 1 [1199:39900:1]
32850bs (2 curves)	1	2- 3- 5+ 73+	2- 3- 5+ -5 -3  4 -6 -4
Curve Equation t Generators 32850bs1 [1,-1,1,-3380,-60753] 1 [-21:35:1] 32850bs2 [1,-1,1,-82130,9074247] 1 [10356:-2485:64]
32850bt (1 curve)	0	2- 3- 5+ 73-	2- 3- 5+  0  3  0  6  2
Curve Equation t 32850bt1 [1,-1,1,435820,466403447] 1
32850bu (2 curves)	0	2- 3- 5+ 73-	2- 3- 5+  2  6  4  4  4
Curve Equation t 32850bu1 [1,-1,1,-73355,-4730853] 2 32850bu2 [1,-1,1,-1045355,-411026853] 2
32850bv (2 curves)	0	2- 3- 5+ 73-	2- 3- 5+  2 -6  4  0 -4
Curve Equation t 32850bv1 [1,-1,1,-9005,328497] 2 32850bv2 [1,-1,1,-15755,-225003] 2
32850bw (1 curve)	0	2- 3- 5+ 73-	2- 3- 5+ -2  6  4 -1 -7
Curve Equation t 32850bw1 [1,-1,1,91509745,-1706275753] 1
32850bx (1 curve)	0	2- 3- 5+ 73-	2- 3- 5+  3  3  6 -6  2
Curve Equation t 32850bx1 [1,-1,1,-91130,5949497] 1
32850by (1 curve)	0	2- 3- 5+ 73-	2- 3- 5+  3  6 -6 -6  8
Curve Equation t 32850by1 [1,-1,1,-21380,-1198753] 1
32850bz (2 curves)	0	2- 3- 5+ 73-	2- 3- 5+  4  0  4  8 -4
Curve Equation t 32850bz1 [1,-1,1,-6755,-132253] 2 32850bz2 [1,-1,1,20245,-942253] 2
32850ca (1 curve)	0	2- 3- 5+ 73-	2- 3- 5+ -4  0  4  7  1
Curve Equation t 32850ca1 [1,-1,1,4270,21147] 1
32850cb (1 curve)	0	2- 3- 5- 73+	2- 3- 5- -4 -4  4  3  3
Curve Equation t 32850cb1 [1,-1,1,-50,-1573] 1
32850cc (1 curve)	1	2- 3- 5- 73-	2- 3- 5- -1 -1  4  2 -2
Curve Equation t Generators 32850cc1 [1,-1,1,-41180,-2883553] 1 [-131:565:1]
32850cd (2 curves)	1	2- 3- 5- 73-	2- 3- 5- -4  3 -4  0  2
Curve Equation t Generators 32850cd1 [1,-1,1,6070,8098697] 1 [-87:2671:1] 32850cd2 [1,-1,1,-2868305,1870693697] 3 [663:15796:1]
32850ce (1 curve)	1	2- 3- 5- 73-	2- 3- 5- -4  5  4 -8  6
Curve Equation t Generators 32850ce1 [1,-1,1,-230,1797] 1 [-1:45:1]

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