Properties

Label 299538p
Number of curves $1$
Conductor $299538$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 299538p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
299538.p1 299538p1 \([1, -1, 1, -2927, 60535]\) \(47832147/1024\) \(59351657472\) \([]\) \(411840\) \(0.85618\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 299538p1 has rank \(1\).

Complex multiplication

The elliptic curves in class 299538p do not have complex multiplication.

Modular form 299538.2.a.p

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