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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 41280.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
41280.q1 | 41280bz1 | \([0, -1, 0, -2881, -108575]\) | \(-10091699281/13932000\) | \(-3652190208000\) | \([]\) | \(92160\) | \(1.1030\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 41280.q1 has rank \(2\).
Complex multiplication
The elliptic curves in class 41280.q do not have complex multiplication.Modular form 41280.2.a.q
sage: E.q_eigenform(10)