Properties

Label 235340.e
Number of curves $1$
Conductor $235340$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 235340.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
235340.e1 235340e1 \([0, -1, 0, -19306845, -32647547975]\) \(-654507396653056/36771875\) \(-44715581283077600000\) \([]\) \(9273600\) \(2.8353\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 235340.e1 has rank \(0\).

Complex multiplication

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

Modular form 235340.2.a.e

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + q^{7} - 2 q^{9} + 3 q^{11} - 3 q^{13} - q^{15} - q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display