Properties

Label 58800.h
Number of curves $1$
Conductor $58800$
CM no
Rank $1$

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

Elliptic curves in class 58800.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58800.h1 58800gc1 \([0, -1, 0, -489918, 132151167]\) \(-805661175040/729\) \(-11767111801200\) \([]\) \(387072\) \(1.8063\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 58800.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 58800.h do not have complex multiplication.

Modular form 58800.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} - 5q^{11} - 2q^{13} - 2q^{17} - 6q^{19} + O(q^{20})\)  Toggle raw display