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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 54978bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54978.ba1 | 54978bd1 | \([1, 0, 1, -16903, -271666]\) | \(10898885041935289/5663289836556\) | \(277501201991244\) | \([]\) | \(207360\) | \(1.4633\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54978bd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 54978bd do not have complex multiplication.Modular form 54978.2.a.bd
sage: E.q_eigenform(10)