Properties

Label 91.a
Number of curves $1$
Conductor $91$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 91.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
91.a1 91a1 \([0, 0, 1, 1, 0]\) \(110592/91\) \(-91\) \([]\) \(4\) \(-0.93633\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 91.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 91.a do not have complex multiplication.

Modular form 91.2.a.a

sage: E.q_eigenform(10)
 
\(q - 2q^{2} + 2q^{4} - 3q^{5} - q^{7} - 3q^{9} + 6q^{10} - 6q^{11} - q^{13} + 2q^{14} - 4q^{16} + 4q^{17} + 6q^{18} + 5q^{19} + O(q^{20})\)  Toggle raw display