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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 338100.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
338100.c1 | 338100c1 | \([0, -1, 0, -181708, 28864312]\) | \(35248450000/1358127\) | \(25565165347680000\) | \([]\) | \(2376000\) | \(1.9160\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 338100.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 338100.c do not have complex multiplication.Modular form 338100.2.a.c
sage: E.q_eigenform(10)