Properties

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

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Show commands: SageMath
E = EllipticCurve("jv1")
 
E.isogeny_class()
 

Elliptic curves in class 379050.jv

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
379050.jv1 379050jv1 \([1, 0, 0, -342589188, 2441120986992]\) \(-881946488857699/201684000\) \(-1016889775607184937500000\) \([]\) \(120384000\) \(3.5983\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 379050.jv1 has rank \(0\).

Complex multiplication

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

Modular form 379050.2.a.jv

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