Properties

Label 376712.bd
Number of curves $1$
Conductor $376712$
CM no
Rank $1$

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

Elliptic curves in class 376712.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
376712.bd1 376712bd1 \([0, 1, 0, -15084176, -16735055632]\) \(3844\) \(98742731095044359013376\) \([]\) \(24552000\) \(3.1213\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 376712.bd1 has rank \(1\).

Complex multiplication

The elliptic curves in class 376712.bd do not have complex multiplication.

Modular form 376712.2.a.bd

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} - 2 q^{9} + 5 q^{11} + q^{13} - q^{15} + 3 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display