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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 414400.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
414400.bd1 | 414400bd1 | \([0, 1, 0, 27967, 676063]\) | \(4724717752/3109295\) | \(-1591959040000000\) | \([]\) | \(1382400\) | \(1.6058\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 414400.bd1 has rank \(2\).
Complex multiplication
The elliptic curves in class 414400.bd do not have complex multiplication.Modular form 414400.2.a.bd
sage: E.q_eigenform(10)