Properties

Label 62400gf
Number of curves $1$
Conductor $62400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("gf1")
 
E.isogeny_class()
 

Elliptic curves in class 62400gf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
62400.fc1 62400gf1 \([0, 1, 0, -587283, -175561437]\) \(-22400965661211136/321826171875\) \(-321826171875000000\) \([]\) \(709632\) \(2.1643\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 62400gf1 has rank \(1\).

Complex multiplication

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

Modular form 62400.2.a.gf

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{7} + q^{9} + 3 q^{11} - q^{13} - 3 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display