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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 8034.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8034.c1 | 8034c1 | \([1, 0, 1, -53, -160]\) | \(-16022066761/1156896\) | \(-1156896\) | \([]\) | \(1320\) | \(-0.086913\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8034.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 8034.c do not have complex multiplication.Modular form 8034.2.a.c
sage: E.q_eigenform(10)