Show commands:
SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 83490.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
83490.g1 | 83490e1 | \([1, 1, 0, 45252, 27702]\) | \(5784501536351/3347531550\) | \(-5930356340249550\) | \([]\) | \(645120\) | \(1.7160\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 83490.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 83490.g do not have complex multiplication.Modular form 83490.2.a.g
sage: E.q_eigenform(10)