Properties

Label 88218bd
Number of curves $1$
Conductor $88218$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bd1")
 
E.isogeny_class()
 

Elliptic curves in class 88218bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88218.f1 88218bd1 \([1, -1, 0, -1806, -42184]\) \(-185193/116\) \(-408174276276\) \([]\) \(125664\) \(0.92955\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88218bd1 has rank \(1\).

Complex multiplication

The elliptic curves in class 88218bd do not have complex multiplication.

Modular form 88218.2.a.bd

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - 3 q^{5} + 2 q^{7} - q^{8} + 3 q^{10} - q^{11} - 2 q^{14} + q^{16} + 4 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display