Properties

Label 226941m
Number of curves $1$
Conductor $226941$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 226941m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
226941.k1 226941m1 \([0, -1, 1, -14459, 854369]\) \(-2258403328/799227\) \(-118314279457803\) \([]\) \(591360\) \(1.4113\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 226941m1 has rank \(1\).

Complex multiplication

The elliptic curves in class 226941m do not have complex multiplication.

Modular form 226941.2.a.m

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