Properties

Label 79350bn
Number of curves $1$
Conductor $79350$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bn1")
 
E.isogeny_class()
 

Elliptic curves in class 79350bn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
79350.bb1 79350bn1 \([1, 0, 1, -736, 9248]\) \(-144672215/39366\) \(-11974153050\) \([]\) \(72576\) \(0.64994\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 79350bn1 has rank \(1\).

Complex multiplication

The elliptic curves in class 79350bn do not have complex multiplication.

Modular form 79350.2.a.bn

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{6} - 3 q^{7} - q^{8} + q^{9} - 4 q^{11} + q^{12} - 4 q^{13} + 3 q^{14} + q^{16} + 5 q^{17} - q^{18} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display