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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 379050.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
379050.bd1 | 379050bd1 | \([1, 1, 0, -2228460, -1164567600]\) | \(576500549021/58084992\) | \(123311265420997584000\) | \([]\) | \(18385920\) | \(2.5912\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 379050.bd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 379050.bd do not have complex multiplication.Modular form 379050.2.a.bd
sage: E.q_eigenform(10)