Properties

Label 2400.bd
Number of curves $1$
Conductor $2400$
CM no
Rank $0$

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

Elliptic curves in class 2400.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2400.bd1 2400j1 \([0, 1, 0, 1667, -42037]\) \(12800/27\) \(-1080000000000\) \([]\) \(2880\) \(0.99330\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2400.bd1 has rank \(0\).

Complex multiplication

The elliptic curves in class 2400.bd do not have complex multiplication.

Modular form 2400.2.a.bd

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{7} + q^{9} + 4 q^{11} + 3 q^{13} + 4 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display