Properties

Label 5400.g
Number of curves $1$
Conductor $5400$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 5400.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5400.g1 5400bd1 \([0, 0, 0, -1875, -81250]\) \(-300\) \(-2430000000000\) \([]\) \(10080\) \(1.0628\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5400.g1 has rank \(0\).

Complex multiplication

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

Modular form 5400.2.a.g

sage: E.q_eigenform(10)
 
\(q - 3 q^{7} + 4 q^{11} + 6 q^{13} + 6 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display