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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 346560.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
346560.w1 | 346560w1 | \([0, -1, 0, -3141, 68445]\) | \(579613696/3645\) | \(21558804480\) | \([]\) | \(276480\) | \(0.82030\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 346560.w1 has rank \(2\).
Complex multiplication
The elliptic curves in class 346560.w do not have complex multiplication.Modular form 346560.2.a.w
sage: E.q_eigenform(10)