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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 28566.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28566.bd1 | 28566u1 | \([1, -1, 1, -472232, -222539183]\) | \(-1587/2\) | \(-14677164363928558806\) | \([]\) | \(556416\) | \(2.3710\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28566.bd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 28566.bd do not have complex multiplication.Modular form 28566.2.a.bd
sage: E.q_eigenform(10)