Properties

Label 88445a
Number of curves $1$
Conductor $88445$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 88445a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88445.j1 88445a1 \([1, 1, 1, -13576676, -19260278052]\) \(2826773089/25\) \(2447671530057996025\) \([]\) \(3217536\) \(2.6948\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88445a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 88445a do not have complex multiplication.

Modular form 88445.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} - q^{4} - q^{5} + q^{6} + 3 q^{8} - 2 q^{9} + q^{10} + 3 q^{11} + q^{12} + 5 q^{13} + q^{15} - q^{16} - 3 q^{17} + 2 q^{18} + O(q^{20})\) Copy content Toggle raw display