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SageMath
E = EllipticCurve("gf1")
E.isogeny_class()
Elliptic curves in class 379050.gf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
379050.gf1 | 379050gf1 | \([1, 1, 1, -1516388, -8875480219]\) | \(-4196653397/367871616\) | \(-33802430214089250000000\) | \([]\) | \(40320000\) | \(3.0025\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 379050.gf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 379050.gf do not have complex multiplication.Modular form 379050.2.a.gf
sage: E.q_eigenform(10)