Properties

Label 97020.y
Number of curves $1$
Conductor $97020$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("y1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 97020.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
97020.y1 97020bv1 \([0, 0, 0, -2531928, 1551099508]\) \(-81756451446784/24958395\) \(-547989689737163520\) \([]\) \(1658880\) \(2.3809\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 97020.y1 has rank \(1\).

Complex multiplication

The elliptic curves in class 97020.y do not have complex multiplication.

Modular form 97020.2.a.y

sage: E.q_eigenform(10)
 
\(q - q^{5} + q^{11} - 2q^{13} - 7q^{17} - 3q^{19} + O(q^{20})\)  Toggle raw display