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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 71478bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
71478.bc1 | 71478bf1 | \([1, -1, 0, -2370213, 1391928057]\) | \(329474953/3564\) | \(15929466584103214956\) | \([]\) | \(2626560\) | \(2.4999\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 71478bf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 71478bf do not have complex multiplication.Modular form 71478.2.a.bf
sage: E.q_eigenform(10)