Properties

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

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 5400.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5400.a1 5400bv1 \([0, 0, 0, -199500, -34297500]\) \(-325228538880\) \(-2700000000\) \([]\) \(25200\) \(1.4610\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5400.a1 has rank \(0\).

Complex multiplication

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

Modular form 5400.2.a.a

sage: E.q_eigenform(10)
 
\(q - 4 q^{7} - 4 q^{11} + q^{13} - 8 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display