Properties

Label 44880.p
Number of curves $1$
Conductor $44880$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 44880.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
44880.p1 44880bd1 \([0, -1, 0, -1471016, 1863108720]\) \(-85944135790429956649/316171526414008320\) \(-1295038572191778078720\) \([]\) \(1762560\) \(2.7368\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 44880.p1 has rank \(0\).

Complex multiplication

The elliptic curves in class 44880.p do not have complex multiplication.

Modular form 44880.2.a.p

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