Properties

Label 88445j
Number of curves $1$
Conductor $88445$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 88445j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88445.bl1 88445j1 \([1, -1, 0, -93025, -10895200]\) \(106979481/25\) \(20804864725225\) \([]\) \(722304\) \(1.5461\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88445j1 has rank \(0\).

Complex multiplication

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

Modular form 88445.2.a.j

sage: E.q_eigenform(10)
 
\(q + q^{2} + 3 q^{3} - q^{4} - q^{5} + 3 q^{6} - 3 q^{8} + 6 q^{9} - q^{10} + 5 q^{11} - 3 q^{12} - q^{13} - 3 q^{15} - q^{16} + 7 q^{17} + 6 q^{18} + O(q^{20})\) Copy content Toggle raw display