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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 22218.bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22218.bd1 | 22218bj1 | \([1, 0, 0, 4811773, -2725907391]\) | \(83228502970940543/69854999176704\) | \(-10341046904217644729856\) | \([]\) | \(2090880\) | \(2.9119\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22218.bd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 22218.bd do not have complex multiplication.Modular form 22218.2.a.bd
sage: E.q_eigenform(10)