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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 248256.z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
248256.z1 | 248256z1 | \([0, 0, 0, -2265996, 1312915696]\) | \(-6733388587405537/331008\) | \(-63256613879808\) | \([]\) | \(3244032\) | \(2.1237\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 248256.z1 has rank \(1\).
Complex multiplication
The elliptic curves in class 248256.z do not have complex multiplication.Modular form 248256.2.a.z
sage: E.q_eigenform(10)