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SageMath
E = EllipticCurve("gf1")
E.isogeny_class()
Elliptic curves in class 91200gf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
91200.w1 | 91200gf1 | \([0, -1, 0, -70833, 3774537]\) | \(3930400000/1666737\) | \(16667370000000000\) | \([]\) | \(691200\) | \(1.8094\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 91200gf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 91200gf do not have complex multiplication.Modular form 91200.2.a.gf
sage: E.q_eigenform(10)