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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 177600.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
177600.c1 | 177600ci1 | \([0, -1, 0, -292833, -388526463]\) | \(-5423945093/124291584\) | \(-63637291008000000000\) | \([]\) | \(6635520\) | \(2.4807\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 177600.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 177600.c do not have complex multiplication.Modular form 177600.2.a.c
sage: E.q_eigenform(10)