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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 98736.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
98736.bd1 | 98736m1 | \([0, -1, 0, -42148, 3342979]\) | \(2414368000/1377\) | \(4722754866192\) | \([]\) | \(202752\) | \(1.3783\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 98736.bd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 98736.bd do not have complex multiplication.Modular form 98736.2.a.bd
sage: E.q_eigenform(10)