Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 379050a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
379050.a1 379050a1 \([1, 1, 0, -24802659178775, -47543984677140376875]\) \(-334669406963386806593721825931/888017186570895360\) \(-4477378461292920926329896960000000\) \([]\) \(22279795200\) \(6.1179\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 379050a1 has rank \(1\).

Complex multiplication

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

Modular form 379050.2.a.a

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