Properties

Label 23400bd
Number of curves $1$
Conductor $23400$
CM no
Rank $1$

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

Elliptic curves in class 23400bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
23400.j1 23400bd1 \([0, 0, 0, -2700, -121500]\) \(-27648/65\) \(-5117580000000\) \([]\) \(46080\) \(1.1269\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 23400bd1 has rank \(1\).

Complex multiplication

The elliptic curves in class 23400bd do not have complex multiplication.

Modular form 23400.2.a.bd

sage: E.q_eigenform(10)
 
\(q - 3 q^{7} + 5 q^{11} + q^{13} + 3 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display