Properties

Label 4368.h
Number of curves $1$
Conductor $4368$
CM no
Rank $1$

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

Elliptic curves in class 4368.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4368.h1 4368r1 \([0, -1, 0, -120, 624]\) \(-47045881/8736\) \(-35782656\) \([]\) \(960\) \(0.17389\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4368.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 4368.h do not have complex multiplication.

Modular form 4368.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + q^{7} + q^{9} - 3q^{11} - q^{13} - q^{15} + 5q^{17} - q^{19} + O(q^{20})\)  Toggle raw display