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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 176610.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
176610.c1 | 176610dl1 | \([1, 1, 0, -813003, 362801853]\) | \(-2436727684840039781/925676688384000\) | \(-22576328752997376000\) | \([]\) | \(6237504\) | \(2.4233\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176610.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 176610.c do not have complex multiplication.Modular form 176610.2.a.c
sage: E.q_eigenform(10)