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SageMath
E = EllipticCurve("cy1")
E.isogeny_class()
Elliptic curves in class 54096cy
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54096.bv1 | 54096cy1 | \([0, 1, 0, 7131248, 4921249556]\) | \(83228502970940543/69854999176704\) | \(-33662446789181640278016\) | \([]\) | \(4561920\) | \(3.0102\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54096cy1 has rank \(0\).
Complex multiplication
The elliptic curves in class 54096cy do not have complex multiplication.Modular form 54096.2.a.cy
sage: E.q_eigenform(10)