Properties

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

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

Elliptic curves in class 1800.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1800.k1 1800o1 \([0, 0, 0, -1500, 22500]\) \(-138240\) \(-2700000000\) \([]\) \(960\) \(0.64177\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

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

Complex multiplication

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

Modular form 1800.2.a.k

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