Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 16245.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
16245.a1 | 16245n1 | \([0, 0, 1, -42614967, 72660506130]\) | \(1914902401024/597871125\) | \(2672213273649746420275125\) | \([]\) | \(3217536\) | \(3.3914\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16245.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 16245.a do not have complex multiplication.Modular form 16245.2.a.a
sage: E.q_eigenform(10)