Properties

Label 379050d
Number of curves $1$
Conductor $379050$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("d1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 379050d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
379050.d1 379050d1 \([1, 1, 0, -237545, -418407675]\) \(-252076657013/12708347904\) \(-74734427899772928000\) \([]\) \(16450560\) \(2.4933\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 379050d1 has rank \(1\).

Complex multiplication

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

Modular form 379050.2.a.d

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