Properties

Label 479808.p
Number of curves $1$
Conductor $479808$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 479808.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
479808.p1 479808p1 \([0, 0, 0, -179634, -29320326]\) \(-3153242386944/2000033\) \(-406601652816576\) \([]\) \(2949120\) \(1.7444\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 479808.p1 has rank \(0\).

Complex multiplication

The elliptic curves in class 479808.p do not have complex multiplication.

Modular form 479808.2.a.p

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