Properties

Label 327990.bk
Number of curves $1$
Conductor $327990$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("bk1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 327990.bk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
327990.bk1 327990bk1 \([1, 0, 0, -61, -655]\) \(-29878729/199680\) \(-167930880\) \([]\) \(110400\) \(0.26163\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 327990.bk1 has rank \(1\).

Complex multiplication

The elliptic curves in class 327990.bk do not have complex multiplication.

Modular form 327990.2.a.bk

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} - q^{5} + q^{6} - q^{7} + q^{8} + q^{9} - q^{10} + 3 q^{11} + q^{12} - q^{13} - q^{14} - q^{15} + q^{16} + 2 q^{17} + q^{18} + O(q^{20})\)  Toggle raw display