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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 6240.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6240.bd1 | 6240p1 | \([0, 1, 0, -44845, 3640475]\) | \(-2435092894982656/88846875\) | \(-363916800000\) | \([]\) | \(13440\) | \(1.3063\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6240.bd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6240.bd do not have complex multiplication.Modular form 6240.2.a.bd
sage: E.q_eigenform(10)