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SageMath
E = EllipticCurve("cs1")
E.isogeny_class()
Elliptic curves in class 493680cs
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
493680.cs1 | 493680cs1 | \([0, -1, 0, 1505200, -10525712448]\) | \(51974460932759/6625297800000\) | \(-48075240226266316800000\) | \([]\) | \(45619200\) | \(3.0316\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 493680cs1 has rank \(0\).
Complex multiplication
The elliptic curves in class 493680cs do not have complex multiplication.Modular form 493680.2.a.cs
sage: E.q_eigenform(10)