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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 27930bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
27930.z1 | 27930bd1 | \([1, 0, 1, 58186, 4175336]\) | \(185183253170999/171032148000\) | \(-20121761180052000\) | \([]\) | \(276480\) | \(1.8156\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 27930bd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 27930bd do not have complex multiplication.Modular form 27930.2.a.bd
sage: E.q_eigenform(10)