Properties

Label 1094.a
Number of curves $1$
Conductor $1094$
CM no
Rank $2$

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

Elliptic curves in class 1094.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1094.a1 1094a1 \([1, 0, 1, -7, 6]\) \(-30664297/2188\) \(-2188\) \([]\) \(88\) \(-0.60910\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1094.a1 has rank \(2\).

Complex multiplication

The elliptic curves in class 1094.a do not have complex multiplication.

Modular form 1094.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{2} - 2 q^{3} + q^{4} - 2 q^{5} + 2 q^{6} - 4 q^{7} - q^{8} + q^{9} + 2 q^{10} - 3 q^{11} - 2 q^{12} - 5 q^{13} + 4 q^{14} + 4 q^{15} + q^{16} - 4 q^{17} - q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display