Properties

Label 310464.pe
Number of curves $1$
Conductor $310464$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("pe1")
 
E.isogeny_class()
 

Elliptic curves in class 310464.pe

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
310464.pe1 310464pe1 \([0, 0, 0, 756, 160272]\) \(189/44\) \(-11124486438912\) \([]\) \(552960\) \(1.1825\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 310464.pe1 has rank \(0\).

Complex multiplication

The elliptic curves in class 310464.pe do not have complex multiplication.

Modular form 310464.2.a.pe

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