Properties

Label 374544n
Number of curves $1$
Conductor $374544$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 374544n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
374544.n1 374544n1 \([0, 0, 0, -7803, -132651]\) \(2304\) \(22804788990096\) \([]\) \(737280\) \(1.2593\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 374544n1 has rank \(2\).

Complex multiplication

The elliptic curves in class 374544n do not have complex multiplication.

Modular form 374544.2.a.n

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