Properties

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

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 381150.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
381150.r1 381150r1 \([1, -1, 0, -4032, -241664]\) \(-3287705905/9633792\) \(-21244678963200\) \([]\) \(884736\) \(1.2442\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 381150.r1 has rank \(1\).

Complex multiplication

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

Modular form 381150.2.a.r

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{7} - q^{8} - 5 q^{13} + q^{14} + q^{16} + q^{19} + O(q^{20})\) Copy content Toggle raw display