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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 8550.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8550.c1 | 8550r1 | \([1, -1, 0, -4617, -124659]\) | \(-23891790625/1181952\) | \(-538526880000\) | \([]\) | \(15360\) | \(1.0123\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8550.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 8550.c do not have complex multiplication.Modular form 8550.2.a.c
sage: E.q_eigenform(10)