Properties

Label 20286r
Number of curves $1$
Conductor $20286$
CM no
Rank $1$

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

Elliptic curves in class 20286r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
20286.q1 20286r1 \([1, -1, 0, -387, 3037]\) \(-179706625/552\) \(-19717992\) \([]\) \(8064\) \(0.26815\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20286r1 has rank \(1\).

Complex multiplication

The elliptic curves in class 20286r do not have complex multiplication.

Modular form 20286.2.a.r

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{8} - q^{11} + 6 q^{13} + q^{16} + 5 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display