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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 250173.bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
250173.bf1 | 250173bf1 | \([0, 0, 1, 12231402, 15866470291]\) | \(5900696781553664/6585747900963\) | \(-225867755480590005800787\) | \([]\) | \(26956800\) | \(3.1677\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 250173.bf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 250173.bf do not have complex multiplication.Modular form 250173.2.a.bf
sage: E.q_eigenform(10)