Show commands:
SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 79350.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
79350.x1 | 79350x1 | \([1, 1, 0, -13500, -438300]\) | \(2941225/828\) | \(76608572557500\) | \([]\) | \(506880\) | \(1.3711\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 79350.x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 79350.x do not have complex multiplication.Modular form 79350.2.a.x
sage: E.q_eigenform(10)