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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 5610.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5610.bd1 | 5610bc1 | \([1, 1, 1, -165, -885]\) | \(-496981290961/89760\) | \(-89760\) | \([]\) | \(1200\) | \(-0.045902\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5610.bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 5610.bd do not have complex multiplication.Modular form 5610.2.a.bd
sage: E.q_eigenform(10)