Properties

Label 444675.m
Number of curves $1$
Conductor $444675$
CM no
Rank $1$

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

Elliptic curves in class 444675.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
444675.m1 444675m1 \([0, -1, 1, 4492, -23332]\) \(45056/27\) \(-6005613796875\) \([]\) \(1088640\) \(1.1413\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 444675.m1 has rank \(1\).

Complex multiplication

The elliptic curves in class 444675.m do not have complex multiplication.

Modular form 444675.2.a.m

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