Properties

Label 4840.h
Number of curves $1$
Conductor $4840$
CM no
Rank $1$

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

Elliptic curves in class 4840.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4840.h1 4840a1 \([0, 1, 0, 27064, -29493136]\) \(453962/78125\) \(-377271630560000000\) \([]\) \(44352\) \(2.0519\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4840.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 4840.h do not have complex multiplication.

Modular form 4840.2.a.h

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} + 3 q^{7} - 2 q^{9} - 4 q^{13} - q^{15} + 3 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display