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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 40310.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
40310.bd1 | 40310bc1 | \([1, -1, 1, -57, 181]\) | \(-20145851361/403100\) | \(-403100\) | \([]\) | \(10752\) | \(-0.13191\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40310.bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 40310.bd do not have complex multiplication.Modular form 40310.2.a.bd
sage: E.q_eigenform(10)