Properties

Label 54390.h
Number of curves $1$
Conductor $54390$
CM no
Rank $1$

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

Elliptic curves in class 54390.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54390.h1 54390a1 \([1, 1, 0, -368, -1728]\) \(2305248169/888000\) \(2132088000\) \([]\) \(51840\) \(0.48908\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54390.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 54390.h do not have complex multiplication.

Modular form 54390.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} - q^{8} + q^{9} + q^{10} + 5 q^{11} - q^{12} - q^{13} + q^{15} + q^{16} + 4 q^{17} - q^{18} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display