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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 349830.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
349830.w1 | 349830w1 | \([1, -1, 0, -4355415, -3497241825]\) | \(15365194032721/1293750\) | \(769351331194143750\) | \([]\) | \(9784320\) | \(2.4753\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 349830.w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 349830.w do not have complex multiplication.Modular form 349830.2.a.w
sage: E.q_eigenform(10)