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SageMath
E = EllipticCurve("cs1")
E.isogeny_class()
Elliptic curves in class 248256cs
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
248256.cs1 | 248256cs1 | \([0, 0, 0, -36, -1728]\) | \(-1728/431\) | \(-1286959104\) | \([]\) | \(168448\) | \(0.42720\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 248256cs1 has rank \(1\).
Complex multiplication
The elliptic curves in class 248256cs do not have complex multiplication.Modular form 248256.2.a.cs
sage: E.q_eigenform(10)