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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 46746.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
46746.z1 | 46746bz1 | \([1, -1, 1, -3317, 75485]\) | \(-47045881/848\) | \(-72729670608\) | \([]\) | \(92160\) | \(0.88054\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 46746.z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 46746.z do not have complex multiplication.Modular form 46746.2.a.z
sage: E.q_eigenform(10)