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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 465690.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
465690.q1 | 465690q1 | \([1, 0, 1, -2530641054, 48668368544656]\) | \(292334014104851369809/2279103646924800\) | \(13973335467691845117660364800\) | \([]\) | \(589498560\) | \(4.2291\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 465690.q1 has rank \(0\).
Complex multiplication
The elliptic curves in class 465690.q do not have complex multiplication.Modular form 465690.2.a.q
sage: E.q_eigenform(10)