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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 414736w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
414736.w1 | 414736w1 | \([0, -1, 0, 198728, 206124752]\) | \(46\) | \(-18868652251800307712\) | \([]\) | \(7948800\) | \(2.3790\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 414736w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 414736w do not have complex multiplication.Modular form 414736.2.a.w
sage: E.q_eigenform(10)