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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 395798.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
395798.q1 | 395798q1 | \([1, 1, 1, -6679, -96387]\) | \(6826561273/3166384\) | \(15283530788656\) | \([]\) | \(1655808\) | \(1.2244\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 395798.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 395798.q do not have complex multiplication.Modular form 395798.2.a.q
sage: E.q_eigenform(10)