Properties

Label 92.a
Number of curves $1$
Conductor $92$
CM no
Rank $1$

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

Elliptic curves in class 92.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
92.a1 92b1 \([0, 0, 0, -1, 1]\) \(-6912/23\) \(-368\) \([]\) \(6\) \(-0.82141\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 92.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 92.a do not have complex multiplication.

Modular form 92.2.a.a

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} - 2 q^{5} - 4 q^{7} + 6 q^{9} + 2 q^{11} - 5 q^{13} + 6 q^{15} + 4 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display