Properties

Label 47652.h
Number of curves $1$
Conductor $47652$
CM no
Rank $1$

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

Elliptic curves in class 47652.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
47652.h1 47652k1 \([0, 1, 0, -49596, -4267692]\) \(145990721706064/5845851\) \(540250166016\) \([]\) \(98496\) \(1.3342\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 47652.h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 47652.h do not have complex multiplication.

Modular form 47652.2.a.h

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} + 3 q^{7} + q^{9} + q^{11} + 2 q^{13} - q^{15} - 2 q^{17} + O(q^{20})\) Copy content Toggle raw display