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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 43200g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
43200.el1 | 43200g1 | \([0, 0, 0, 150, -250]\) | \(1536\) | \(-243000000\) | \([]\) | \(12288\) | \(0.29792\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43200g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 43200g do not have complex multiplication.Modular form 43200.2.a.g
sage: E.q_eigenform(10)