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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 259182g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
259182.g1 | 259182g1 | \([1, -1, 0, -126099, 20414389]\) | \(-2513898149714809/579901980672\) | \(-51152573813096448\) | \([]\) | \(5117952\) | \(1.9257\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 259182g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 259182g do not have complex multiplication.Modular form 259182.2.a.g
sage: E.q_eigenform(10)