Properties

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

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Show commands: SageMath
E = EllipticCurve("bj1")
 
E.isogeny_class()
 

Elliptic curves in class 88445bj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88445.m1 88445bj1 \([1, 0, 0, -277075, 56112832]\) \(2826773089/25\) \(20804864725225\) \([]\) \(459648\) \(1.7218\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88445bj1 has rank \(1\).

Complex multiplication

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

Modular form 88445.2.a.bj

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