Cremona's table of elliptic curves

36800 = 2⁶ · 5² · 23

Class	r	Atkin-Lehner	Eigenvalues
36800a (1 curve)	1	2+ 5+ 23+	2+  0 5+ -1  1  1  0  5
Curve Equation t Generators 36800a1 [0,0,0,-140,240] 1 [14:32:1]
36800b (1 curve)	1	2+ 5+ 23+	2+  0 5+ -1 -2 -2 -3  2
Curve Equation t Generators 36800b1 [0,0,0,700,-10750] 1 [19:97:1]
36800c (1 curve)	1	2+ 5+ 23+	2+  0 5+ -1  6 -2  3  6
Curve Equation t Generators 36800c1 [0,0,0,146800,-2844000] 1 [170440:4662125:512]
36800d (2 curves)	1	2+ 5+ 23+	2+  0 5+  4 -2 -2  2  2
Curve Equation t Generators 36800d1 [0,0,0,-16300,-930000] 2 [4314875800:57191171100:16974593] 36800d2 [0,0,0,-272300,-54690000] 2 [880250:43587200:343]
36800e (2 curves)	1	2+ 5+ 23+	2+  0 5+ -4 -6 -2 -6  6
Curve Equation t Generators 36800e1 [0,0,0,500,6000] 2 [6:96:1] 36800e2 [0,0,0,-3500,62000] 2 [-26:368:1]
36800f (1 curve)	1	2+ 5+ 23+	2+  1 5+  2  0  1  4  4
Curve Equation t Generators 36800f1 [0,1,0,367,3863] 1 [606:4175:27]
36800g (2 curves)	1	2+ 5+ 23+	2+  1 5+  4  6 -1  0 -2
Curve Equation t Generators 36800g1 [0,1,0,-4633,542863] 1 [22338:3338675:1] 36800g2 [0,1,0,41367,-14039137] 1 [1991059406409414:-297597889484049025:89134915563]
36800h (1 curve)	1	2+ 5+ 23+	2+  1 5+ -4 -3 -2  1  1
Curve Equation t Generators 36800h1 [0,1,0,-60833,-5929537] 1 [57603:2642608:27]
36800i (1 curve)	1	2+ 5+ 23+	2+ -1 5+ -2  4 -5  2 -6
Curve Equation t Generators 36800i1 [0,-1,0,-33,937] 1 [-8:25:1]
36800j (1 curve)	1	2+ 5+ 23+	2+  2 5+  1  2  0  1 -4
Curve Equation t Generators 36800j1 [0,-1,0,617,1483137] 1 [385920:21441027:125]
36800k (1 curve)	1	2+ 5+ 23+	2+  2 5+  1  2 -4  3  4
Curve Equation t Generators 36800k1 [0,-1,0,-783,-8563] 1 [4426:103875:8]
36800l (1 curve)	1	2+ 5+ 23+	2+  2 5+  1  5 -1 -4 -7
Curve Equation t Generators 36800l1 [0,-1,0,-353,2657] 1 [1:48:1]
36800m (2 curves)	1	2+ 5+ 23+	2+ -2 5+  1 -3 -1  0  1
Curve Equation t Generators 36800m1 [0,1,0,-2433,-38177] 1 [-21:64:1] 36800m2 [0,1,0,-186433,-31045857] 1 [-548457:768:2197]
36800n (1 curve)	1	2+ 5+ 23+	2+ -2 5+  3 -3  1  2  1
Curve Equation t Generators 36800n1 [0,1,0,-8,-2] 1 [-3:2:1]
36800o (1 curve)	1	2+ 5+ 23+	2+ -2 5+ -3 -6  4 -7 -8
Curve Equation t Generators 36800o1 [0,1,0,-182383,-30041637] 1 [1082:32257:1]
36800p (1 curve)	1	2+ 5+ 23+	2+  3 5+  2  0 -5  6 -6
Curve Equation t Generators 36800p1 [0,0,0,-5500,-157000] 1 [161034823785:-72053528107625:804357]
36800q (1 curve)	1	2+ 5+ 23+	2+ -3 5+  2  0  1  0  0
Curve Equation t Generators 36800q1 [0,0,0,-18700,991000] 1 [85:125:1]
36800r (1 curve)	1	2+ 5+ 23+	2+ -3 5+  4 -2 -5 -4  2
Curve Equation t Generators 36800r1 [0,0,0,-100,1000] 1 [5:25:1]
36800s (1 curve)	0	2+ 5+ 23-	2+  0 5+  1  3 -3  8  7
Curve Equation t 36800s1 [0,0,0,-8007500,8713350000] 1
36800t (1 curve)	0	2+ 5+ 23-	2+  0 5+  1 -6  6 -7 -2
Curve Equation t 36800t1 [0,0,0,-800,-12000] 1
36800u (2 curves)	0	2+ 5+ 23-	2+  1 5+ -2  0 -1  6 -2
Curve Equation t 36800u1 [0,1,0,167,463] 1 36800u2 [0,1,0,-1833,-37537] 1
36800v (1 curve)	0	2+ 5+ 23-	2+ -1 5+  0 -2 -5  4  2
Curve Equation t 36800v1 [0,-1,0,-33,-23063] 1
36800w (1 curve)	0	2+ 5+ 23-	2+ -1 5+  2  4  1  0  4
Curve Equation t 36800w1 [0,-1,0,-1033,13937] 1
36800x (1 curve)	0	2+ 5+ 23-	2+ -1 5+  4  2  7  4  6
Curve Equation t 36800x1 [0,-1,0,-433,3737] 1
36800y (1 curve)	0	2+ 5+ 23-	2+  2 5+ -1 -5  7  0  7
Curve Equation t 36800y1 [0,-1,0,-1473,-10303] 1
36800z (1 curve)	0	2+ 5+ 23-	2+  2 5+  3 -5 -5  4 -1
Curve Equation t 36800z1 [0,-1,0,-20833,1149537] 1
36800ba (1 curve)	0	2+ 5+ 23-	2+  2 5+  3  6  4 -7  8
Curve Equation t 36800ba1 [0,-1,0,-182383,30041637] 1
36800bb (1 curve)	0	2+ 5+ 23-	2+  2 5+ -3  3  1  2 -1
Curve Equation t 36800bb1 [0,-1,0,-8,2] 1
36800bc (2 curves)	0	2+ 5+ 23-	2+ -2 5+  1  3  5 -6  7
Curve Equation t 36800bc1 [0,1,0,-10833,420463] 1 36800bc2 [0,1,0,-110833,-14079537] 1
36800bd (1 curve)	0	2+ 5+ 23-	2+ -2 5+ -1 -2  0  1  4
Curve Equation t 36800bd1 [0,1,0,617,-1483137] 1
36800be (1 curve)	2	2+ 5+ 23-	2+ -2 5+ -1 -2 -4  3 -4
Curve Equation t Generators 36800be1 [0,1,0,-783,8563] 1 [-22:125:1]&[18:25:1]
36800bf (1 curve)	0	2+ 5+ 23-	2+  3 5+ -2  0 -3 -4  4
Curve Equation t 36800bf1 [0,0,0,-7300,2453000] 1
36800bg (1 curve)	0	2+ 5+ 23-	2+ -3 5+  4 -3  6  5  1
Curve Equation t 36800bg1 [0,0,0,500,-31760] 1
36800bh (1 curve)	0	2+ 5- 23+	2+  0 5- -1  3  3 -8  7
Curve Equation t 36800bh1 [0,0,0,-320300,69706800] 1
36800bi (2 curves)	0	2+ 5- 23+	2+  2 5- -1  3 -5  6  7
Curve Equation t 36800bi1 [0,-1,0,-433,3537] 1 36800bi2 [0,-1,0,-4433,-110863] 1
36800bj (1 curve)	0	2+ 5- 23+	2+  2 5- -3  0  6 -7  4
Curve Equation t 36800bj1 [0,-1,0,27,317] 1
36800bk (1 curve)	2	2+ 5- 23+	2+ -2 5-  1  0 -2 -5 -8
Curve Equation t Generators 36800bk1 [0,1,0,-1833,29713] 1 [-48:97:1]&[8:125:1]
36800bl (1 curve)	2	2+ 5- 23+	2+ -2 5-  1 -5 -7  0  7
Curve Equation t Generators 36800bl1 [0,1,0,-36833,-1361537] 1 [-167:400:1]&[-141:1024:1]
36800bm (1 curve)	0	2+ 5- 23+	2+ -2 5-  3  3 -1 -2 -1
Curve Equation t 36800bm1 [0,1,0,-208,-162] 1
36800bn (1 curve)	2	2+ 5- 23+	2+ -2 5- -3 -5  5 -4 -1
Curve Equation t Generators 36800bn1 [0,1,0,-833,8863] 1 [19:-16:1]&[-7:120:1]
36800bo (1 curve)	0	2+ 5- 23+	2+  3 5- -4 -3 -6 -5  1
Curve Equation t 36800bo1 [0,0,0,12500,-3970000] 1
36800bp (1 curve)	1	2+ 5- 23-	2+  0 5-  1  1 -1  0  5
Curve Equation t Generators 36800bp1 [0,0,0,-3500,30000] 1 [6:96:1]
36800bq (1 curve)	1	2+ 5- 23-	2+ -1 5-  4 -3  2 -1  1
Curve Equation t Generators 36800bq1 [0,-1,0,-2433,-46463] 1 [193:2576:1]
36800br (1 curve)	1	2+ 5- 23-	2+  2 5- -1  0  2  5 -8
Curve Equation t Generators 36800br1 [0,-1,0,-73,267] 1 [6:3:1]
36800bs (2 curves)	1	2+ 5- 23-	2+  2 5- -1 -3  1  0  1
Curve Equation t Generators 36800bs1 [0,-1,0,-60833,-4650463] 1 [601:13248:1] 36800bs2 [0,-1,0,-4660833,-3871410463] 1 [10601:1066752:1]
36800bt (1 curve)	1	2+ 5- 23-	2+  2 5- -3 -3 -1 -2  1
Curve Equation t Generators 36800bt1 [0,-1,0,-208,162] 1 [21:8:27]
36800bu (1 curve)	1	2+ 5- 23-	2+ -2 5- -1  5  1  4 -7
Curve Equation t Generators 36800bu1 [0,1,0,-8833,314463] 1 [83:-400:1]
36800bv (1 curve)	1	2+ 5- 23-	2+ -2 5-  3  0 -6  7  4
Curve Equation t Generators 36800bv1 [0,1,0,667,40963] 1 [314:2875:8]
36800bw (4 curves)	0	2- 5+ 23+	2-  0 5+  0 -4 -2 -2  4
Curve Equation t 36800bw1 [0,0,0,-19175,-1022000] 2 36800bw2 [0,0,0,-19300,-1008000] 4 36800bw3 [0,0,0,3700,-3262000] 2 36800bw4 [0,0,0,-44300,2142000] 2
36800bx (1 curve)	0	2- 5+ 23+	2-  0 5+ -1 -3 -3  8 -7
Curve Equation t 36800bx1 [0,0,0,-8007500,-8713350000] 1
36800by (1 curve)	0	2- 5+ 23+	2-  0 5+ -1  6  6 -7  2
Curve Equation t 36800by1 [0,0,0,-800,12000] 1
36800bz (1 curve)	0	2- 5+ 23+	2-  0 5+  3  5  1  4  1
Curve Equation t 36800bz1 [0,0,0,-335,2360] 1
36800ca (1 curve)	0	2- 5+ 23+	2-  1 5+  0  2 -5  4 -2
Curve Equation t 36800ca1 [0,1,0,-33,23063] 1
36800cb (1 curve)	0	2- 5+ 23+	2-  1 5+ -2 -4  1  0 -4
Curve Equation t 36800cb1 [0,1,0,-1033,-13937] 1
36800cc (1 curve)	0	2- 5+ 23+	2-  1 5+ -4 -2  7  4 -6
Curve Equation t 36800cc1 [0,1,0,-433,-3737] 1
36800cd (2 curves)	0	2- 5+ 23+	2- -1 5+  2  0 -1  6  2
Curve Equation t 36800cd1 [0,-1,0,167,-463] 1 36800cd2 [0,-1,0,-1833,37537] 1
36800ce (2 curves)	0	2- 5+ 23+	2-  2 5+ -1 -3  5 -6 -7
Curve Equation t 36800ce1 [0,-1,0,-10833,-420463] 1 36800ce2 [0,-1,0,-110833,14079537] 1
36800cf (1 curve)	0	2- 5+ 23+	2- -2 5+  1  5  7  0 -7
Curve Equation t 36800cf1 [0,1,0,-1473,10303] 1
36800cg (1 curve)	0	2- 5+ 23+	2- -2 5+ -3  5 -5  4  1
Curve Equation t 36800cg1 [0,1,0,-20833,-1149537] 1
36800ch (1 curve)	0	2- 5+ 23+	2- -2 5+  5  2  4 -3  0
Curve Equation t 36800ch1 [0,1,0,117,-137] 1
36800ci (1 curve)	0	2- 5+ 23+	2-  3 5+ -4  3  6  5 -1
Curve Equation t 36800ci1 [0,0,0,500,31760] 1
36800cj (1 curve)	0	2- 5+ 23+	2- -3 5+  2  0 -3 -4 -4
Curve Equation t 36800cj1 [0,0,0,-7300,-2453000] 1
36800ck (4 curves)	1	2- 5+ 23-	2-  0 5+  0  4 -2 -2 -4
Curve Equation t Generators 36800ck1 [0,0,0,-19175,1022000] 2 [22690:1206975:8] 36800ck2 [0,0,0,-19300,1008000] 4 [-155:525:1] 36800ck3 [0,0,0,3700,3262000] 2 [-3633:15463:27] 36800ck4 [0,0,0,-44300,-2142000] 2 [234:552:1]
36800cl (1 curve)	1	2- 5+ 23-	2-  0 5+  1 -1  1  0 -5
Curve Equation t Generators 36800cl1 [0,0,0,-140,-240] 1 [-4:16:1]
36800cm (1 curve)	1	2- 5+ 23-	2-  0 5+  1  2 -2 -3 -2
Curve Equation t Generators 36800cm1 [0,0,0,700,10750] 1 [-9:61:1]
36800cn (1 curve)	1	2- 5+ 23-	2-  0 5+  1 -6 -2  3 -6
Curve Equation t Generators 36800cn1 [0,0,0,146800,2844000] 1 [2290:66125:8]
36800co (1 curve)	1	2- 5+ 23-	2-  0 5+ -3 -5  1  4 -1
Curve Equation t Generators 36800co1 [0,0,0,-335,-2360] 1 [-1320:16:125]
36800cp (2 curves)	1	2- 5+ 23-	2-  0 5+  4  6 -2 -6 -6
Curve Equation t Generators 36800cp1 [0,0,0,500,-6000] 2 [2622:26432:27] 36800cp2 [0,0,0,-3500,-62000] 2 [394:7728:1]
36800cq (2 curves)	1	2- 5+ 23-	2-  0 5+ -4  2 -2  2 -2
Curve Equation t Generators 36800cq1 [0,0,0,-16300,930000] 2 [300:4800:1] 36800cq2 [0,0,0,-272300,54690000] 2 [-150:9600:1]
36800cr (1 curve)	1	2- 5+ 23-	2-  1 5+  2 -4 -5  2  6
Curve Equation t Generators 36800cr1 [0,1,0,-33,-937] 1 [966:5725:27]
36800cs (1 curve)	1	2- 5+ 23-	2- -1 5+ -2  0  1  4 -4
Curve Equation t Generators 36800cs1 [0,-1,0,367,-3863] 1 [72:625:1]
36800ct (1 curve)	1	2- 5+ 23-	2- -1 5+  4  3 -2  1 -1
Curve Equation t Generators 36800ct1 [0,-1,0,-60833,5929537] 1 [141:-368:1]
36800cu (2 curves)	1	2- 5+ 23-	2- -1 5+ -4 -6 -1  0  2
Curve Equation t Generators 36800cu1 [0,-1,0,-4633,-542863] 1 [112:575:1] 36800cu2 [0,-1,0,41367,14039137] 1 [-128:2575:1]
36800cv (2 curves)	1	2- 5+ 23-	2-  2 5+ -1  3 -1  0 -1
Curve Equation t Generators 36800cv1 [0,-1,0,-2433,38177] 1 [-37:276:1] 36800cv2 [0,-1,0,-186433,31045857] 1 [123:3156:1]
36800cw (1 curve)	1	2- 5+ 23-	2-  2 5+ -5 -2  4 -3  0
Curve Equation t Generators 36800cw1 [0,-1,0,117,137] 1 [8:39:1]
36800cx (1 curve)	1	2- 5+ 23-	2- -2 5+ -1 -5 -1 -4  7
Curve Equation t Generators 36800cx1 [0,1,0,-353,-2657] 1 [-11:4:1]
36800cy (1 curve)	1	2- 5+ 23-	2-  3 5+ -2  0  1  0  0
Curve Equation t Generators 36800cy1 [0,0,0,-18700,-991000] 1 [4172677205804205:-32355243565515575:22218850038897]
36800cz (1 curve)	1	2- 5+ 23-	2-  3 5+ -4  2 -5 -4 -2
Curve Equation t Generators 36800cz1 [0,0,0,-100,-1000] 1 [7815:132875:27]
36800da (1 curve)	1	2- 5+ 23-	2- -3 5+ -2  0 -5  6  6
Curve Equation t Generators 36800da1 [0,0,0,-5500,157000] 1 [45:25:1]
36800db (1 curve)	1	2- 5- 23+	2-  0 5- -1 -1 -1  0 -5
Curve Equation t Generators 36800db1 [0,0,0,-3500,-30000] 1 [-16:148:1]
36800dc (1 curve)	1	2- 5- 23+	2-  0 5-  3  0  4  1 -6
Curve Equation t Generators 36800dc1 [0,0,0,-2750,81250] 1 [21:181:1]
36800dd (1 curve)	1	2- 5- 23+	2-  0 5-  3  0 -4 -1  6
Curve Equation t Generators 36800dd1 [0,0,0,-110,-650] 1 [210:965:8]
36800de (1 curve)	1	2- 5- 23+	2-  0 5-  3 -5 -1 -4 -1
Curve Equation t Generators 36800de1 [0,0,0,-8375,-295000] 1 [-18891964:483286:357911]
36800df (1 curve)	1	2- 5- 23+	2-  1 5- -4  3  2 -1 -1
Curve Equation t Generators 36800df1 [0,1,0,-2433,46463] 1 [37:92:1]
36800dg (1 curve)	1	2- 5- 23+	2-  2 5-  1 -5  1  4  7
Curve Equation t Generators 36800dg1 [0,-1,0,-8833,-314463] 1 [-57:24:1]
36800dh (1 curve)	1	2- 5- 23+	2-  2 5- -3  0 -6  7 -4
Curve Equation t Generators 36800dh1 [0,-1,0,667,-40963] 1 [117988:5065125:64]
36800di (1 curve)	1	2- 5- 23+	2- -2 5-  1  0  2  5  8
Curve Equation t Generators 36800di1 [0,1,0,-73,-267] 1 [12:27:1]
36800dj (2 curves)	1	2- 5- 23+	2- -2 5-  1  3  1  0 -1
Curve Equation t Generators 36800dj1 [0,1,0,-60833,4650463] 1 [-143:3232:1] 36800dj2 [0,1,0,-4660833,3871410463] 1 [1233:800:1]
36800dk (1 curve)	0	2- 5- 23-	2-  0 5-  1 -3  3 -8 -7
Curve Equation t 36800dk1 [0,0,0,-320300,-69706800] 1
36800dl (1 curve)	0	2- 5- 23-	2-  0 5- -3  0  4  1  6
Curve Equation t 36800dl1 [0,0,0,-2750,-81250] 1
36800dm (1 curve)	2	2- 5- 23-	2-  0 5- -3  0 -4 -1 -6
Curve Equation t Generators 36800dm1 [0,0,0,-110,650] 1 [-11:23:1]&[5:15:1]
36800dn (1 curve)	0	2- 5- 23-	2-  0 5- -3  5 -1 -4  1
Curve Equation t 36800dn1 [0,0,0,-8375,295000] 1
36800do (1 curve)	0	2- 5- 23-	2-  2 5- -1  0 -2 -5  8
Curve Equation t 36800do1 [0,-1,0,-1833,-29713] 1
36800dp (1 curve)	0	2- 5- 23-	2-  2 5- -1  5 -7  0 -7
Curve Equation t 36800dp1 [0,-1,0,-36833,1361537] 1
36800dq (1 curve)	0	2- 5- 23-	2-  2 5-  3  5  5 -4  1
Curve Equation t 36800dq1 [0,-1,0,-833,-8863] 1
36800dr (2 curves)	2	2- 5- 23-	2- -2 5-  1 -3 -5  6 -7
Curve Equation t Generators 36800dr1 [0,1,0,-433,-3537] 1 [-13:8:1]&[-11:4:1] 36800dr2 [0,1,0,-4433,110863] 1 [-77:40:1]&[-27:460:1]
36800ds (1 curve)	0	2- 5- 23-	2- -2 5-  3  0  6 -7 -4
Curve Equation t 36800ds1 [0,1,0,27,-317] 1
36800dt (1 curve)	0	2- 5- 23-	2- -3 5-  4  3 -6 -5 -1
Curve Equation t 36800dt1 [0,0,0,12500,3970000] 1

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