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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 435344w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
435344.w1 | 435344w1 | \([0, 0, 0, 263341, -122204654]\) | \(2917645350022143/11008380780544\) | \(-7620265377431289856\) | \([]\) | \(7354368\) | \(2.3059\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 435344w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 435344w do not have complex multiplication.Modular form 435344.2.a.w
sage: E.q_eigenform(10)