Properties

Label 381150.hm
Number of curves $1$
Conductor $381150$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("hm1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 381150.hm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
381150.hm1 381150hm1 [1, -1, 0, 1097508, -1270001584] [] 23961600 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 381150.hm1 has rank \(0\).

Complex multiplication

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

Modular form 381150.2.a.hm

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