Properties

Label 48400p
Number of curves $1$
Conductor $48400$
CM no
Rank $0$

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

Elliptic curves in class 48400p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
48400.g1 48400p1 \([0, 0, 0, -12100, 665500]\) \(-27648/11\) \(-77948684000000\) \([]\) \(207360\) \(1.3745\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 48400p1 has rank \(0\).

Complex multiplication

The elliptic curves in class 48400p do not have complex multiplication.

Modular form 48400.2.a.p

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + 2 q^{7} + 6 q^{9} - 6 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display