Properties

Label 248773.d
Number of curves $1$
Conductor $248773$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 248773.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
248773.d1 248773d1 \([0, -1, 1, -1217323, -516554333]\) \(1695716756180992000/12189877\) \(1434126839173\) \([]\) \(1443840\) \(1.9295\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 248773.d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 248773.d do not have complex multiplication.

Modular form 248773.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{4} - 2 q^{9} - 2 q^{11} + 2 q^{12} + 2 q^{13} + 4 q^{16} - 6 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display