Properties

Label 97461h
Number of curves $1$
Conductor $97461$
CM no
Rank $1$

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

Elliptic curves in class 97461h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
97461.n1 97461h1 [0, 0, 1, -8148, -292910] [] 167936 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 97461h1 has rank \(1\).

Complex multiplication

The elliptic curves in class 97461h do not have complex multiplication.

Modular form 97461.2.a.h

sage: E.q_eigenform(10)
 
\( q - 2q^{4} - q^{5} - 6q^{11} - q^{13} + 4q^{16} - q^{17} + 7q^{19} + O(q^{20}) \)