Properties

Label 235340.j
Number of curves $1$
Conductor $235340$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 235340.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
235340.j1 235340j1 \([0, 0, 0, -328, -23452]\) \(-9068544/546875\) \(-235340000000\) \([]\) \(430416\) \(0.86185\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 235340.j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 235340.j do not have complex multiplication.

Modular form 235340.2.a.j

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} - q^{5} + q^{7} + 6 q^{9} + 6 q^{13} - 3 q^{15} + 3 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display