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SageMath
E = EllipticCurve("bz1")
E.isogeny_class()
Elliptic curves in class 8400.bz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8400.bz1 | 8400ba1 | \([0, 1, 0, -208, -6412]\) | \(-1250/21\) | \(-16800000000\) | \([]\) | \(6720\) | \(0.64326\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8400.bz1 has rank \(1\).
Complex multiplication
The elliptic curves in class 8400.bz do not have complex multiplication.Modular form 8400.2.a.bz
sage: E.q_eigenform(10)