Properties

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

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 381150j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
381150.j1 381150j1 \([1, -1, 0, 380583, 77856741]\) \(2496791/2520\) \(-6153037704804375000\) \([]\) \(8515584\) \(2.2922\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 381150j1 has rank \(1\).

Complex multiplication

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

Modular form 381150.2.a.j

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