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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 40080bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
40080.bc1 | 40080bf1 | \([0, 1, 0, 40, 660]\) | \(1685159/45090\) | \(-184688640\) | \([]\) | \(20736\) | \(0.26630\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40080bf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 40080bf do not have complex multiplication.Modular form 40080.2.a.bf
sage: E.q_eigenform(10)