Properties

Label 327990.bo
Number of curves $1$
Conductor $327990$
CM no
Rank $2$

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Show commands: SageMath
sage: E = EllipticCurve("bo1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 327990.bo

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
327990.bo1 327990bo1 \([1, 0, 0, -62440, 5974592]\) \(32012296758508921/157697280000\) \(132623412480000\) \([]\) \(1774080\) \(1.5576\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 327990.bo1 has rank \(2\).

Complex multiplication

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

Modular form 327990.2.a.bo

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + q^{5} + q^{6} - 3q^{7} + q^{8} + q^{9} + q^{10} - 2q^{11} + q^{12} - q^{13} - 3q^{14} + q^{15} + q^{16} - 3q^{17} + q^{18} - 2q^{19} + O(q^{20})\)  Toggle raw display