Properties

Label 176400.bd
Number of curves $1$
Conductor $176400$
CM no
Rank $1$

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

Elliptic curves in class 176400.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
176400.bd1 176400nt1 \([0, 0, 0, -4542300, -3838684500]\) \(-30211716096/1071875\) \(-367722243787500000000\) \([]\) \(7741440\) \(2.7184\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 176400.bd1 has rank \(1\).

Complex multiplication

The elliptic curves in class 176400.bd do not have complex multiplication.

Modular form 176400.2.a.bd

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