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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 493680s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
493680.s1 | 493680s1 | \([0, -1, 0, -697176, 226326960]\) | \(-6874064715655619/72615234375\) | \(-395881992000000000\) | \([]\) | \(7741440\) | \(2.1935\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 493680s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 493680s do not have complex multiplication.Modular form 493680.2.a.s
sage: E.q_eigenform(10)