Properties

Label 234416.r
Number of curves $1$
Conductor $234416$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 234416.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
234416.r1 234416r1 \([0, -1, 0, -1275045, -595731191]\) \(-155337497706496/14140645571\) \(-20868609978456670976\) \([]\) \(3931200\) \(2.4500\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 234416.r1 has rank \(1\).

Complex multiplication

The elliptic curves in class 234416.r do not have complex multiplication.

Modular form 234416.2.a.r

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - 2 q^{9} - 4 q^{11} + q^{13} - q^{15} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display