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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 426888bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
426888.bd1 | 426888bd1 | \([0, 0, 0, -1143219, 473839751]\) | \(-263757056/2187\) | \(-1370114017631107056\) | \([]\) | \(8429568\) | \(2.3066\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 426888bd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 426888bd do not have complex multiplication.Modular form 426888.2.a.bd
sage: E.q_eigenform(10)