Properties

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

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 1800.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1800.h1 1800f1 \([0, 0, 0, 45, 270]\) \(270\) \(-37324800\) \([]\) \(336\) \(0.13579\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1800.h1 has rank \(0\).

Complex multiplication

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

Modular form 1800.2.a.h

sage: E.q_eigenform(10)
 
\(q - 2 q^{7} - q^{11} - 4 q^{13} + 5 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display