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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 8470.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8470.g1 | 8470j1 | \([1, 1, 0, 1692, -842288]\) | \(2496791/1433600\) | \(-307304891801600\) | \([]\) | \(27456\) | \(1.4590\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8470.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 8470.g do not have complex multiplication.Modular form 8470.2.a.g
sage: E.q_eigenform(10)