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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 5577.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5577.c1 | 5577b1 | \([0, -1, 1, -1629, 25859]\) | \(-2830523957248/264627\) | \(-44721963\) | \([]\) | \(2352\) | \(0.50579\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5577.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5577.c do not have complex multiplication.Modular form 5577.2.a.c
sage: E.q_eigenform(10)