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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 22386g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
22386.h1 | 22386g1 | \([1, 0, 1, -37929, 2835628]\) | \(6034224034719280009/10659567050496\) | \(10659567050496\) | \([]\) | \(86528\) | \(1.3928\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 22386g1 has rank \(2\).
Complex multiplication
The elliptic curves in class 22386g do not have complex multiplication.Modular form 22386.2.a.g
sage: E.q_eigenform(10)