Cremona's table of elliptic curves

40362 = 2 · 3 · 7 · 31²

Class	r	Atkin-Lehner	Eigenvalues
40362a (1 curve)	0	2+ 3+ 7+ 31-	2+ 3+  0 7+  0 -1 -3  0
Curve Equation t 40362a1 [1,1,0,13605,-7334883] 1
40362b (2 curves)	0	2+ 3+ 7+ 31-	2+ 3+  0 7+ -2 -2 -2 -2
Curve Equation t 40362b1 [1,1,0,-6117265,-5149561067] 2 40362b2 [1,1,0,-94683025,-354647763179] 2
40362c (2 curves)	0	2+ 3+ 7+ 31-	2+ 3+  0 7+  6  2 -6  6
Curve Equation t 40362c1 [1,1,0,-10110,-97344] 2 40362c2 [1,1,0,-96600,11440422] 2
40362d (4 curves)	1	2+ 3+ 7- 31-	2+ 3+  0 7- -6 -2 -6 -4
Curve Equation t Generators 40362d1 [1,1,0,-178285,-24255923] 2 [-282:2063:1] 40362d2 [1,1,0,340655,-138526511] 2 [555:14618:1] 40362d3 [1,1,0,-4113580,3207105616] 2 [82516:405607:64] 40362d4 [1,1,0,-3191020,4685600272] 2 [25086:1265587:8]
40362e (1 curve)	1	2+ 3+ 7- 31-	2+ 3+  1 7- -1 -7 -7  3
Curve Equation t Generators 40362e1 [1,1,0,-562,10102] 1 [-3:110:1]
40362f (2 curves)	1	2+ 3+ 7- 31-	2+ 3+ -2 7-  0  2  6  2
Curve Equation t Generators 40362f1 [1,1,0,-9030056,9409380396] 2 [-919:130586:1] 40362f2 [1,1,0,11987014,46739900130] 2 [1003:243984:1]
40362g (2 curves)	1	2+ 3+ 7- 31-	2+ 3+ -2 7-  2  2  2  6
Curve Equation t Generators 40362g1 [1,1,0,-4063236,3150803664] 2 [2229:70821:1] 40362g2 [1,1,0,-65011716,201733141200] 2 [1682051:-11031446:343]
40362h (2 curves)	1	2+ 3+ 7- 31-	2+ 3+ -2 7-  2  2  2 -8
Curve Equation t Generators 40362h1 [1,1,0,-13171966,-20561649500] 2 [6512:408890:1] 40362h2 [1,1,0,-217538226,-1235028586176] 2 [17885079:-2095923950:729]
40362i (2 curves)	1	2+ 3+ 7- 31-	2+ 3+ -2 7-  6 -4  0 -4
Curve Equation t Generators 40362i1 [1,1,0,-30291,-3375315] 2 [493:9844:1] 40362i2 [1,1,0,-568451,-165146211] 2 [23727:-116132:27]
40362j (2 curves)	1	2+ 3+ 7- 31-	2+ 3+  3 7-  3  1 -3 -1
Curve Equation t Generators 40362j1 [1,1,0,70614,-160726572] 1 [15166:651663:8] 40362j2 [1,1,0,-635721,4347809733] 1 [1791590:93780003:1000]
40362k (2 curves)	1	2+ 3+ 7- 31-	2+ 3+  3 7- -3  4  3 -1
Curve Equation t Generators 40362k1 [1,1,0,-66,-252] 1 [32:162:1] 40362k2 [1,1,0,399,213] 1 [2:31:1]
40362l (2 curves)	1	2+ 3+ 7- 31-	2+ 3+  4 7- -4  2  2  0
Curve Equation t Generators 40362l1 [1,1,0,-123508,-14796800] 2 [-315575:-12050:2197] 40362l2 [1,1,0,-1910968,-1017561860] 2 [-9434117599725:4907849760094:11774546875]
40362m (1 curve)	0	2+ 3- 7+ 31+	2+ 3-  0 7+  0  1  3  0
Curve Equation t 40362m1 [1,0,1,13073904,218683462366] 1
40362n (2 curves)	1	2+ 3- 7+ 31-	2+ 3- -2 7+  2 -4  0 -4
Curve Equation t Generators 40362n1 [1,0,1,27463918,-4756443100] 2 [4269:434089:1] 40362n2 [1,0,1,-110305042,-38151639004] 2 [-5267:632489:1]
40362o (2 curves)	1	2+ 3- 7+ 31-	2+ 3-  4 7+  2  2 -6  2
Curve Equation t Generators 40362o1 [1,0,1,-10454259,-13010977586] 2 [-10671956372:5753718594:5735339] 40362o2 [1,0,1,-10800219,-12103870466] 2 [5956137591375140:-56008830405068358:1575067472875]
40362p (2 curves)	1	2+ 3- 7- 31+	2+ 3-  3 7-  3 -4 -3 -1
Curve Equation t Generators 40362p1 [1,0,1,-63927,6678442] 3 [24455:149224:125] 40362p2 [1,0,1,382938,-1365128] 1 [149345:5737393:125]
40362q (1 curve)	0	2+ 3- 7- 31-	2+ 3-  1 7-  1  7  7  3
Curve Equation t 40362q1 [1,0,1,-540583,-307974100] 1
40362r (2 curves)	0	2+ 3- 7- 31-	2+ 3-  2 7-  0  6  2 -2
Curve Equation t 40362r1 [1,0,1,-182130,26323204] 2 40362r2 [1,0,1,279150,138137476] 2
40362s (2 curves)	0	2+ 3- 7- 31-	2+ 3- -2 7- -2 -2 -2  6
Curve Equation t 40362s1 [1,0,1,-3904770297,-93916353965924] 2 40362s2 [1,0,1,-62476259577,-6010644200861540] 2
40362t (2 curves)	2	2+ 3- 7- 31-	2+ 3- -2 7- -2 -2 -2 -8
Curve Equation t Generators 40362t1 [1,0,1,-13707,688870] 2 [80:-366:1]&[-746:8979:8] 40362t2 [1,0,1,-226367,41434526] 2 [-543:2350:1]&[297:-800:1]
40362u (2 curves)	0	2+ 3- 7- 31-	2+ 3-  4 7-  4 -2 -2  0
Curve Equation t 40362u1 [1,0,1,-129,484] 2 40362u2 [1,0,1,-1989,33964] 2
40362v (4 curves)	1	2- 3+ 7+ 31-	2- 3+  2 7+ -4 -2  2  0
Curve Equation t Generators 40362v1 [1,1,1,-40382,3096299] 4 [1179:39361:1] 40362v2 [1,1,1,-59602,-178789] 4 [14389099:477213927:12167] 40362v3 [1,1,1,238308,-1132101] 2 [2419578757168720:87465839455509143:2136719872000] 40362v4 [1,1,1,-665032,-208446709] 2 [73007346373230:1874134738450589:55655459432]
40362w (4 curves)	1	2- 3+ 7+ 31-	2- 3+ -2 7+  0 -2 -6  4
Curve Equation t Generators 40362w1 [1,1,1,-1921059,1024022337] 4 [805:-202:1] 40362w2 [1,1,1,-1997939,937516961] 4 [8493:-776690:1] 40362w3 [1,1,1,3364441,5109448601] 2 [77402451:7236644584:9261] 40362w4 [1,1,1,-8590399,-8769221143] 2 [1967963639:170171773224:226981]
40362x (1 curve)	1	2- 3+ 7+ 31-	2- 3+ -3 7+  3  3  5 -1
Curve Equation t Generators 40362x1 [1,1,1,-1203192,-560820423] 1 [3717:213405:1]
40362y (1 curve)	0	2- 3+ 7- 31-	2- 3+  1 7- -1 -5  5 -5
Curve Equation t 40362y1 [1,1,1,-221050,39912209] 1
40362z (1 curve)	0	2- 3+ 7- 31-	2- 3+  4 7- -4  1 -7  4
Curve Equation t 40362z1 [1,1,1,-826,-9529] 1
40362ba (1 curve)	0	2- 3- 7+ 31-	2- 3-  1 7+  5  5  3 -1
Curve Equation t 40362ba1 [1,0,0,-20,-273672] 1
40362bb (4 curves)	0	2- 3- 7+ 31-	2- 3-  2 7+  0  2 -2  8
Curve Equation t 40362bb1 [1,0,0,-3495177,-2446686567] 2 40362bb2 [1,0,0,-8415497,5970012825] 4 40362bb3 [1,0,0,24950423,41571449465] 2 40362bb4 [1,0,0,-120506537,509057018553] 2
40362bc (6 curves)	0	2- 3- 7+ 31-	2- 3- -2 7+  4 -6 -2 -4
Curve Equation t 40362bc1 [1,0,0,-3864,-204480] 2 40362bc2 [1,0,0,-80744,-8830416] 4 40362bc3 [1,0,0,-99964,-4313716] 4 40362bc4 [1,0,0,-1291604,-565099500] 2 40362bc5 [1,0,0,370926,-33226362] 2 40362bc6 [1,0,0,-878374,313744610] 2
40362bd (6 curves)	0	2- 3- 7+ 31-	2- 3- -2 7+ -4  2  6 -4
Curve Equation t 40362bd1 [1,0,0,-99964,1444601360] 2 40362bd2 [1,0,0,-19781244,33403063824] 4 40362bd3 [1,0,0,-39155004,-42762936240] 2 40362bd4 [1,0,0,-315307964,2154989386704] 4 40362bd5 [1,0,0,-314116324,2172086322440] 2 40362bd6 [1,0,0,-5044927124,137920599222168] 2
40362be (1 curve)	0	2- 3- 7- 31+	2- 3-  4 7-  4 -1  7  4
Curve Equation t 40362be1 [1,0,0,-793806,273553668] 1

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