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SageMath
E = EllipticCurve("bz1")
E.isogeny_class()
Elliptic curves in class 23104.bz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
23104.bz1 | 23104bk1 | \([0, 0, 0, -27436, -39617584]\) | \(-27/8\) | \(-676725150772625408\) | \([]\) | \(437760\) | \(2.1005\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 23104.bz1 has rank \(0\).
Complex multiplication
The elliptic curves in class 23104.bz do not have complex multiplication.Modular form 23104.2.a.bz
sage: E.q_eigenform(10)