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SageMath
E = EllipticCurve("bz1")
E.isogeny_class()
Elliptic curves in class 310464.bz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
310464.bz1 | 310464bz1 | \([0, 0, 0, 4116, -134456]\) | \(6912/11\) | \(-12272661789696\) | \([]\) | \(573440\) | \(1.1967\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 310464.bz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 310464.bz do not have complex multiplication.Modular form 310464.2.a.bz
sage: E.q_eigenform(10)