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SageMath
E = EllipticCurve("gf1")
E.isogeny_class()
Elliptic curves in class 80850gf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
80850.gm1 | 80850gf1 | \([1, 0, 0, -121738, -16958908]\) | \(-260607143968297/11270993184\) | \(-8629354156500000\) | \([]\) | \(907200\) | \(1.8235\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 80850gf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 80850gf do not have complex multiplication.Modular form 80850.2.a.gf
sage: E.q_eigenform(10)