Properties

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

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Show commands: SageMath
E = EllipticCurve("ht1")
 
E.isogeny_class()
 

Elliptic curves in class 62400ht

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
62400.gy1 62400ht1 \([0, 1, 0, -8, -4062]\) \(-1600/177957\) \(-7118280000\) \([]\) \(46080\) \(0.56938\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 62400ht1 has rank \(0\).

Complex multiplication

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

Modular form 62400.2.a.ht

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