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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 16562s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
16562.b1 | 16562s1 | \([1, -1, 0, -25883818, 50700817012]\) | \(-19983597574473/3670016\) | \(-352211081711846948864\) | \([]\) | \(2845440\) | \(2.9454\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16562s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 16562s do not have complex multiplication.Modular form 16562.2.a.s
sage: E.q_eigenform(10)