Properties

Label 97461.n
Number of curves $1$
Conductor $97461$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 97461.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
97461.n1 97461h1 \([0, 0, 1, -8148, -292910]\) \(-239251750912/9771957\) \(-2443448531979\) \([]\) \(167936\) \(1.1446\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 97461.n1 has rank \(1\).

Complex multiplication

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

Modular form 97461.2.a.n

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