Properties

Label 97461.h
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 97461.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
97461.h1 97461e1 [0, 0, 1, -23079, -1194804] [] 677376 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

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

Complex multiplication

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

Modular form 97461.2.a.h

sage: E.q_eigenform(10)
 
\(q - 2q^{2} + 2q^{4} + 2q^{5} - 4q^{10} + 5q^{11} - q^{13} - 4q^{16} + q^{17} - 8q^{19} + O(q^{20})\)  Toggle raw display