Properties

Label 286110fv
Number of curves $1$
Conductor $286110$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("fv1")
 
E.isogeny_class()
 

Elliptic curves in class 286110fv

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
286110.fv1 286110fv1 \([1, -1, 1, -11034797, -14467295851]\) \(-8444922396903721/253364474880\) \(-4458274218537714938880\) \([]\) \(23224320\) \(2.9321\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 286110fv1 has rank \(1\).

Complex multiplication

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

Modular form 286110.2.a.fv

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + q^{5} - 3 q^{7} + q^{8} + q^{10} + q^{11} - q^{13} - 3 q^{14} + q^{16} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display