Properties

Label 44528g
Number of curves $1$
Conductor $44528$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 44528g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
44528.r1 44528g1 \([0, 1, 0, -524, 4607]\) \(-562432/23\) \(-651934448\) \([]\) \(22400\) \(0.45883\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 44528g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 44528g do not have complex multiplication.

Modular form 44528.2.a.g

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