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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 171549.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
171549.c1 | 171549c1 | \([0, 0, 1, -1029, 9175]\) | \(1404928/389\) | \(33363021069\) | \([]\) | \(224640\) | \(0.72662\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 171549.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 171549.c do not have complex multiplication.Modular form 171549.2.a.c
sage: E.q_eigenform(10)