Properties

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

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Show commands: SageMath
E = EllipticCurve("bk1")
 
E.isogeny_class()
 

Elliptic curves in class 88445bk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88445.l1 88445bk1 \([1, 0, 0, -37010, -2743525]\) \(877952898529/15625\) \(99777015625\) \([]\) \(196992\) \(1.2378\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88445bk1 has rank \(1\).

Complex multiplication

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

Modular form 88445.2.a.bk

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