Properties

Label 1800l
Number of curves $1$
Conductor $1800$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 1800l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1800.t1 1800l1 \([0, 0, 0, 1500, 2500]\) \(5120/3\) \(-218700000000\) \([]\) \(1920\) \(0.86532\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1800l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 1800l do not have complex multiplication.

Modular form 1800.2.a.l

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