Properties

Label 4018.l
Number of curves $1$
Conductor $4018$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 4018.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4018.l1 4018p1 \([1, 0, 0, 13, 97]\) \(4934783/83968\) \(-4114432\) \([]\) \(792\) \(-0.050318\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4018.l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 4018.l do not have complex multiplication.

Modular form 4018.2.a.l

sage: E.q_eigenform(10)
 
\(q + q^{2} - 2 q^{3} + q^{4} + 2 q^{5} - 2 q^{6} + q^{8} + q^{9} + 2 q^{10} - 4 q^{11} - 2 q^{12} - q^{13} - 4 q^{15} + q^{16} + q^{18} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display