Properties

Label 62400.a
Number of curves $1$
Conductor $62400$
CM no
Rank $0$

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

Elliptic curves in class 62400.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
62400.a1 62400bo1 \([0, -1, 0, 187, -16803]\) \(351232/59319\) \(-121485312000\) \([]\) \(92160\) \(0.80620\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 62400.a1 has rank \(0\).

Complex multiplication

The elliptic curves in class 62400.a do not have complex multiplication.

Modular form 62400.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{3} - 5 q^{7} + q^{9} - 5 q^{11} - q^{13} - 3 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display