Properties

Label 379050.u
Number of curves $1$
Conductor $379050$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("u1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 379050.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
379050.u1 379050u1 \([1, 1, 0, -18415700, -29544366000]\) \(20822343029/688128\) \(22825908727104000000000\) \([]\) \(42681600\) \(3.0633\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 379050.u1 has rank \(0\).

Complex multiplication

The elliptic curves in class 379050.u do not have complex multiplication.

Modular form 379050.2.a.u

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