Properties

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

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Show commands: SageMath
E = EllipticCurve("pl1")
 
E.isogeny_class()
 

Elliptic curves in class 235200pl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
235200.pl1 235200pl1 \([0, 1, 0, -39993, 3065103]\) \(-805661175040/729\) \(-6401203200\) \([]\) \(442368\) \(1.1799\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 235200pl1 has rank \(1\).

Complex multiplication

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

Modular form 235200.2.a.pl

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{9} - 5 q^{11} - 2 q^{13} + 2 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display