Properties

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

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Show commands: SageMath
E = EllipticCurve("gd1")
 
E.isogeny_class()
 

Elliptic curves in class 62400.gd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
62400.gd1 62400hs1 \([0, 1, 0, -5333, -161037]\) \(-524288/39\) \(-1248000000000\) \([]\) \(107520\) \(1.0698\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 62400.gd1 has rank \(0\).

Complex multiplication

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

Modular form 62400.2.a.gd

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