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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 177450.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
177450.s1 | 177450ig1 | \([1, 1, 0, -226450, 59216500]\) | \(-3890692789997/2352442176\) | \(-776489702625000000\) | \([]\) | \(2822400\) | \(2.1349\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 177450.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 177450.s do not have complex multiplication.Modular form 177450.2.a.s
sage: E.q_eigenform(10)