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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 355740a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
355740.a1 | 355740a1 | \([0, -1, 0, -179846, 74508645]\) | \(-3937024/12375\) | \(-2022113931623478000\) | \([]\) | \(5806080\) | \(2.1991\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 355740a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 355740a do not have complex multiplication.Modular form 355740.2.a.a
sage: E.q_eigenform(10)