Properties

Label 18207.d
Number of curves 1
Conductor 18207
CM no
Rank 1

Related objects

Downloads

Learn more about

Show commands for: SageMath
sage: E = EllipticCurve("18207.d1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 18207.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
18207.d1 18207c1 [1, -1, 0, -30399, 359954] [] 102816 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 18207.d1 has rank \(1\).

Modular form 18207.2.a.d

sage: E.q_eigenform(10)
 
\( q + q^{2} - q^{4} - 4q^{5} - q^{7} - 3q^{8} - 4q^{10} - 2q^{13} - q^{14} - q^{16} - 7q^{19} + O(q^{20}) \)