Properties

Label 374790.p
Number of curves $1$
Conductor $374790$
CM no
Rank $1$

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

Elliptic curves in class 374790.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
374790.p1 374790p1 \([1, 1, 0, 2042, -132002]\) \(31584462281/274218750\) \(-8169250781250\) \([]\) \(1069056\) \(1.1589\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 374790.p1 has rank \(1\).

Complex multiplication

The elliptic curves in class 374790.p do not have complex multiplication.

Modular form 374790.2.a.p

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} + 3 q^{7} - q^{8} + q^{9} + q^{10} - 6 q^{11} - q^{12} + q^{13} - 3 q^{14} + q^{15} + q^{16} + 3 q^{17} - q^{18} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display