Show commands:
SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 15246x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
15246.v1 | 15246x1 | \([1, -1, 0, -925128, 343174288]\) | \(-4631003113/7056\) | \(-133417547160814224\) | \([]\) | \(337920\) | \(2.1859\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15246x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 15246x do not have complex multiplication.Modular form 15246.2.a.x
sage: E.q_eigenform(10)