Properties

Label 286110.bc
Number of curves $1$
Conductor $286110$
CM no
Rank $0$

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

Elliptic curves in class 286110.bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
286110.bc1 286110bc1 \([1, -1, 0, -14017702005, -1230459041673675]\) \(-17311437234395043487224049/27152400000000000000000\) \(-477781444887872400000000000000000\) \([]\) \(1250242560\) \(4.9619\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 286110.bc1 has rank \(0\).

Complex multiplication

The elliptic curves in class 286110.bc do not have complex multiplication.

Modular form 286110.2.a.bc

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} + q^{7} - q^{8} + q^{10} - q^{11} + 4 q^{13} - q^{14} + q^{16} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display