Properties

Label 1800.k
Number of curves 1
Conductor 1800
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("1800.k1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 1800.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
1800.k1 1800o1 [0, 0, 0, -1500, 22500] [] 960 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1800.k1 has rank \(1\).

Modular form 1800.2.a.k

sage: E.q_eigenform(10)
 
\( q - q^{7} - 4q^{11} + q^{13} + 4q^{17} + q^{19} + O(q^{20}) \)