Properties

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

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 62400.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
62400.s1 62400fz1 \([0, -1, 0, 3167, -118463]\) \(34295/78\) \(-7987200000000\) \([]\) \(161280\) \(1.1598\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 62400.s1 has rank \(0\).

Complex multiplication

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

Modular form 62400.2.a.s

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