Properties

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

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Show commands: SageMath
E = EllipticCurve("hf1")
 
E.isogeny_class()
 

Elliptic curves in class 62400.hf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
62400.hf1 62400hi1 \([0, 1, 0, -273, -2097]\) \(-5513680/1053\) \(-431308800\) \([]\) \(18432\) \(0.38069\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 62400.hf1 has rank \(0\).

Complex multiplication

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

Modular form 62400.2.a.hf

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