Properties

Label 87120.bd
Number of curves $1$
Conductor $87120$
CM no
Rank $1$

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

Elliptic curves in class 87120.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
87120.bd1 87120ba1 \([0, 0, 0, 15972, 2518252]\) \(11264/75\) \(-3000338385580800\) \([]\) \(337920\) \(1.6515\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 87120.bd1 has rank \(1\).

Complex multiplication

The elliptic curves in class 87120.bd do not have complex multiplication.

Modular form 87120.2.a.bd

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