Properties

Label 71050.bj
Number of curves $1$
Conductor $71050$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bj1")
 
E.isogeny_class()
 

Elliptic curves in class 71050.bj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
71050.bj1 71050bw1 \([1, -1, 1, -1455, -30453]\) \(-185193/116\) \(-213238812500\) \([]\) \(155520\) \(0.87545\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 71050.bj1 has rank \(1\).

Complex multiplication

The elliptic curves in class 71050.bj do not have complex multiplication.

Modular form 71050.2.a.bj

sage: E.q_eigenform(10)
 
\(q + q^{2} - 3 q^{3} + q^{4} - 3 q^{6} + q^{8} + 6 q^{9} - q^{11} - 3 q^{12} + 3 q^{13} + q^{16} - 4 q^{17} + 6 q^{18} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display