Properties

Label 44352b
Number of curves $1$
Conductor $44352$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 44352b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
44352.er1 44352b1 \([0, 0, 0, -53436, 4754808]\) \(-610325920583424/55240493\) \(-1527289150464\) \([]\) \(122880\) \(1.3774\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 44352b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 44352b do not have complex multiplication.

Modular form 44352.2.a.b

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