Properties

Label 235200ed
Number of curves $1$
Conductor $235200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ed1")
 
E.isogeny_class()
 

Elliptic curves in class 235200ed

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
235200.ed1 235200ed1 \([0, -1, 0, 11667, 197037]\) \(358400/243\) \(-119070000000000\) \([]\) \(460800\) \(1.3896\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 235200ed1 has rank \(1\).

Complex multiplication

The elliptic curves in class 235200ed do not have complex multiplication.

Modular form 235200.2.a.ed

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