Properties

Label 92736fr
Number of curves $1$
Conductor $92736$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("fr1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 92736fr

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
92736.fi1 92736fr1 \([0, 0, 0, 5239284, 3097598992]\) \(83228502970940543/69854999176704\) \(-13349498231145684271104\) \([]\) \(6082560\) \(2.9332\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 92736fr1 has rank \(1\).

Complex multiplication

The elliptic curves in class 92736fr do not have complex multiplication.

Modular form 92736.2.a.fr

sage: E.q_eigenform(10)
 
\(q + 3q^{5} + q^{7} - 4q^{11} + 3q^{13} + 4q^{17} + O(q^{20})\)  Toggle raw display