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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 84966.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
84966.g1 | 84966y1 | \([1, 1, 0, -1306, 51220]\) | \(-17417218777/71663616\) | \(-1014828466176\) | \([]\) | \(158760\) | \(0.98903\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 84966.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 84966.g do not have complex multiplication.Modular form 84966.2.a.g
sage: E.q_eigenform(10)