Properties

Label 24990bd
Number of curves $1$
Conductor $24990$
CM no
Rank $0$

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

Elliptic curves in class 24990bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
24990.r1 24990bd1 \([1, 0, 1, 471, 48556]\) \(236545752359/20889600000\) \(-1023590400000\) \([]\) \(65280\) \(0.98400\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 24990bd1 has rank \(0\).

Complex multiplication

The elliptic curves in class 24990bd do not have complex multiplication.

Modular form 24990.2.a.bd

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