Properties

Label 3024.bd
Number of curves $1$
Conductor $3024$
CM no
Rank $0$

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

Elliptic curves in class 3024.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3024.bd1 3024bd1 \([0, 0, 0, 63477, -2524230]\) \(38983348653/26353376\) \(-19121854456922112\) \([]\) \(30240\) \(1.8128\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3024.bd1 has rank \(0\).

Complex multiplication

The elliptic curves in class 3024.bd do not have complex multiplication.

Modular form 3024.2.a.bd

sage: E.q_eigenform(10)
 
\(q + 4 q^{5} + q^{7} + 4 q^{11} + 3 q^{13} - 7 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display