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SageMath
E = EllipticCurve("gx1")
E.isogeny_class()
Elliptic curves in class 111600gx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
111600.b1 | 111600gx1 | \([0, 0, 0, 6405, -3531350]\) | \(77854483/14478426\) | \(-5404043547648000\) | \([]\) | \(645120\) | \(1.6981\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 111600gx1 has rank \(1\).
Complex multiplication
The elliptic curves in class 111600gx do not have complex multiplication.Modular form 111600.2.a.gx
sage: E.q_eigenform(10)