Properties

Label 473200m
Number of curves $1$
Conductor $473200$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 473200m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
473200.m1 473200m1 \([0, 0, 0, -169000, -27462500]\) \(-221184/7\) \(-16893831500000000\) \([]\) \(6739200\) \(1.8900\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 473200m1 has rank \(0\).

Complex multiplication

The elliptic curves in class 473200m do not have complex multiplication.

Modular form 473200.2.a.m

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + q^{7} + 6 q^{9} + 3 q^{11} - 5 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display