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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 66248a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
66248.i1 | 66248a1 | \([0, -1, 0, -135256, -13826203]\) | \(614656/169\) | \(75240404418424336\) | \([]\) | \(451584\) | \(1.9459\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66248a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 66248a do not have complex multiplication.Modular form 66248.2.a.a
sage: E.q_eigenform(10)