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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 90160g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
90160.be1 | 90160g1 | \([0, -1, 0, 7824, -78665]\) | \(28134973184/17609375\) | \(-33147605750000\) | \([]\) | \(184320\) | \(1.2834\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 90160g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 90160g do not have complex multiplication.Modular form 90160.2.a.g
sage: E.q_eigenform(10)