Properties

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

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 97461e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
97461.h1 97461e1 \([0, 0, 1, -23079, -1194804]\) \(776703004672/97144749\) \(170035271372421\) \([]\) \(677376\) \(1.4602\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 97461e1 has rank \(1\).

Complex multiplication

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

Modular form 97461.2.a.e

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