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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 169065.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
169065.c1 | 169065h1 | \([0, 0, 1, -131223, -17804912]\) | \(1186118904991744/36374479245\) | \(7663411661815845\) | \([]\) | \(1695744\) | \(1.8237\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 169065.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 169065.c do not have complex multiplication.Modular form 169065.2.a.c
sage: E.q_eigenform(10)