Properties

Label 381150jm
Number of curves $1$
Conductor $381150$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("jm1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 381150jm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
381150.jm1 381150jm1 [1, -1, 1, 43900, -10168793] [] 4792320 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 381150jm1 has rank \(1\).

Complex multiplication

The elliptic curves in class 381150jm do not have complex multiplication.

Modular form 381150.2.a.jm

sage: E.q_eigenform(10)
 
\( q + q^{2} + q^{4} - q^{7} + q^{8} - 3q^{13} - q^{14} + q^{16} - 7q^{17} + 6q^{19} + O(q^{20}) \)