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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 324928g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
324928.g1 | 324928g1 | \([0, 1, 0, -8677, 308227]\) | \(4410243976192/5077\) | \(83181568\) | \([]\) | \(190464\) | \(0.80376\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 324928g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 324928g do not have complex multiplication.Modular form 324928.2.a.g
sage: E.q_eigenform(10)