Properties

Label 235200rn
Number of curves $1$
Conductor $235200$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("rn1")
 
E.isogeny_class()
 

Elliptic curves in class 235200rn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
235200.rn1 235200rn1 \([0, 1, 0, -17916033, 29182896063]\) \(-215474070728/3645\) \(-10758502218240000000\) \([]\) \(8515584\) \(2.7819\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 235200rn1 has rank \(2\).

Complex multiplication

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

Modular form 235200.2.a.rn

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{9} - 3 q^{11} - q^{13} - 4 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display