Properties

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

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Show commands: SageMath
E = EllipticCurve("bc1")
 
E.isogeny_class()
 

Elliptic curves in class 88445.bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88445.bc1 88445bt1 \([1, 1, 0, -13360617, 18791116744]\) \(877952898529/15625\) \(4694097603628890625\) \([]\) \(3742848\) \(2.7100\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88445.bc1 has rank \(0\).

Complex multiplication

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

Modular form 88445.2.a.bc

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