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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 465690.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
465690.w1 | 465690w1 | \([1, 0, 1, 1131727, -1276701244]\) | \(3407435858352239/16941312000000\) | \(-797018948335872000000\) | \([]\) | \(32901120\) | \(2.6929\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 465690.w1 has rank \(2\).
Complex multiplication
The elliptic curves in class 465690.w do not have complex multiplication.Modular form 465690.2.a.w
sage: E.q_eigenform(10)