Properties

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

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 5400.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5400.f1 5400e1 \([0, 0, 0, -16875, 2193750]\) \(-300\) \(-1771470000000000\) \([]\) \(30240\) \(1.6121\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5400.f1 has rank \(1\).

Complex multiplication

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

Modular form 5400.2.a.f

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