Properties

Label 327990.bd
Number of curves $1$
Conductor $327990$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("bd1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 327990.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
327990.bd1 327990bd1 \([1, 1, 1, -41833460, 104232166037]\) \(-13611534355369215721/15998696220000\) \(-9516397617250546620000\) \([]\) \(41664000\) \(3.1292\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 327990.bd1 has rank \(0\).

Complex multiplication

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

Modular form 327990.2.a.bd

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