Properties

Label 286528r
Number of curves $1$
Conductor $286528$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 286528r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
286528.r1 286528r1 \([0, -1, 0, -4517, 107197]\) \(351232/37\) \(1073934450688\) \([]\) \(366080\) \(1.0433\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 286528r1 has rank \(0\).

Complex multiplication

The elliptic curves in class 286528r do not have complex multiplication.

Modular form 286528.2.a.r

sage: E.q_eigenform(10)
 
\(q - q^{3} + 2 q^{5} + q^{7} - 2 q^{9} - 6 q^{13} - 2 q^{15} + 4 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display