Properties

Label 1800.a
Number of curves $1$
Conductor $1800$
CM no
Rank $0$

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

Elliptic curves in class 1800.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
1800.a1 1800x1 [0, 0, 0, -2100, -44300] [] 2688 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1800.a1 has rank \(0\).

Complex multiplication

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

Modular form 1800.2.a.a

sage: E.q_eigenform(10)
 
\( q - 5q^{7} + 6q^{11} - 3q^{13} + 2q^{17} + q^{19} + O(q^{20}) \)