Properties

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

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Show commands: SageMath
E = EllipticCurve("go1")
 
E.isogeny_class()
 

Elliptic curves in class 286110.go

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
286110.go1 286110go1 \([1, -1, 1, 4597213, -548928691]\) \(610641930681719/360747465210\) \(-6347816221316394903210\) \([]\) \(21565440\) \(2.8729\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 286110.go1 has rank \(0\).

Complex multiplication

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

Modular form 286110.2.a.go

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