Properties

Label 18207a
Number of curves $1$
Conductor $18207$
CM no
Rank $2$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 18207a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
18207.b1 18207a1 \([0, 0, 1, -13872, 2320164]\) \(-16777216/122451\) \(-2154683037520251\) \([]\) \(73728\) \(1.6253\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 18207a1 has rank \(2\).

Complex multiplication

The elliptic curves in class 18207a do not have complex multiplication.

Modular form 18207.2.a.a

sage: E.q_eigenform(10)
 
\(q - 2 q^{4} + q^{5} - q^{7} - 5 q^{11} - 5 q^{13} + 4 q^{16} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display