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SageMath
E = EllipticCurve("gc1")
E.isogeny_class()
Elliptic curves in class 84150gc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
84150.eb1 | 84150gc1 | \([1, -1, 1, 1120, 17997]\) | \(13651919/20570\) | \(-234305156250\) | \([]\) | \(92160\) | \(0.86703\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 84150gc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 84150gc do not have complex multiplication.Modular form 84150.2.a.gc
sage: E.q_eigenform(10)