Properties

Label 283302r
Number of curves $1$
Conductor $283302$
CM no
Rank $1$

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

Elliptic curves in class 283302r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
283302.r1 283302r1 \([1, -1, 1, -41, -331]\) \(-10218313/62956\) \(-45894924\) \([]\) \(132864\) \(0.15379\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 283302r1 has rank \(1\).

Complex multiplication

The elliptic curves in class 283302r do not have complex multiplication.

Modular form 283302.2.a.r

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + 3 q^{5} - 4 q^{7} + q^{8} + 3 q^{10} + 2 q^{11} - q^{13} - 4 q^{14} + q^{16} + 6 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display