Properties

Label 4140.h
Number of curves $1$
Conductor $4140$
CM no
Rank $1$

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

Elliptic curves in class 4140.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4140.h1 4140i1 \([0, 0, 0, -72, 324]\) \(-221184/115\) \(-21461760\) \([]\) \(1152\) \(0.11124\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4140.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 4140.h do not have complex multiplication.

Modular form 4140.2.a.h

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