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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 160113.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
160113.c1 | 160113c1 | \([1, 1, 1, -310506, -66726150]\) | \(-1178642372740721641/90876411\) | \(-255271838499\) | \([]\) | \(843696\) | \(1.6364\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 160113.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 160113.c do not have complex multiplication.Modular form 160113.2.a.c
sage: E.q_eigenform(10)