Properties

Label 5400.w
Number of curves $1$
Conductor $5400$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("w1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 5400.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5400.w1 5400bn1 \([0, 0, 0, -75, 875]\) \(-768/5\) \(-303750000\) \([]\) \(1152\) \(0.31110\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5400.w1 has rank \(1\).

Complex multiplication

The elliptic curves in class 5400.w do not have complex multiplication.

Modular form 5400.2.a.w

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