Properties

Label 15680.bh
Number of curves $1$
Conductor $15680$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("bh1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 15680.bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15680.bh1 15680ck1 \([0, -1, 0, 859, -30659]\) \(12459008/78125\) \(-439040000000\) \([]\) \(14336\) \(0.91581\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15680.bh1 has rank \(1\).

Complex multiplication

The elliptic curves in class 15680.bh do not have complex multiplication.

Modular form 15680.2.a.bh

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 2q^{9} + 3q^{11} - q^{13} + q^{15} - 5q^{17} - 6q^{19} + O(q^{20})\)  Toggle raw display