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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 250173.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
250173.z1 | 250173z1 | \([0, 0, 1, 6498, 46298]\) | \(884736/539\) | \(-18485785067211\) | \([]\) | \(366912\) | \(1.2349\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 250173.z1 has rank \(0\).
Complex multiplication
The elliptic curves in class 250173.z do not have complex multiplication.Modular form 250173.2.a.z
sage: E.q_eigenform(10)