Properties

Label 27930bd
Number of curves $1$
Conductor $27930$
CM no
Rank $1$

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

Elliptic curves in class 27930bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
27930.z1 27930bd1 \([1, 0, 1, 58186, 4175336]\) \(185183253170999/171032148000\) \(-20121761180052000\) \([]\) \(276480\) \(1.8156\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 27930bd1 has rank \(1\).

Complex multiplication

The elliptic curves in class 27930bd do not have complex multiplication.

Modular form 27930.2.a.bd

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