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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 64400bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
64400.n1 | 64400bf1 | \([0, -1, 0, 74867, -8336863]\) | \(11601902526464/14175546875\) | \(-56702187500000000\) | \([]\) | \(483840\) | \(1.9008\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 64400bf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 64400bf do not have complex multiplication.Modular form 64400.2.a.bf
sage: E.q_eigenform(10)