Show commands:
SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 15246.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
15246.c1 | 15246m1 | \([1, -1, 0, -26703, -27654291]\) | \(-13475473/2107392\) | \(-329317141201348608\) | \([]\) | \(139392\) | \(2.0407\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15246.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 15246.c do not have complex multiplication.Modular form 15246.2.a.c
sage: E.q_eigenform(10)