Properties

Label 46800.bd
Number of curves $1$
Conductor $46800$
CM no
Rank $1$

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

Elliptic curves in class 46800.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
46800.bd1 46800fm1 \([0, 0, 0, -545520, -157715300]\) \(-769623354048512/15247889631\) \(-355702769311968000\) \([]\) \(537600\) \(2.1606\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 46800.bd1 has rank \(1\).

Complex multiplication

The elliptic curves in class 46800.bd do not have complex multiplication.

Modular form 46800.2.a.bd

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