Properties

Label 59976.bd
Number of curves $1$
Conductor $59976$
CM no
Rank $0$

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

Elliptic curves in class 59976.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
59976.bd1 59976o1 \([0, 0, 0, -147, -8000818]\) \(-2/157437\) \(-27653654101764096\) \([]\) \(331776\) \(1.8338\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 59976.bd1 has rank \(0\).

Complex multiplication

The elliptic curves in class 59976.bd do not have complex multiplication.

Modular form 59976.2.a.bd

sage: E.q_eigenform(10)
 
\(q + q^{5} + 3 q^{11} + q^{13} + q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display