Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("e1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 62400.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
62400.e1 62400t1 [0, -1, 0, 127, 897] [] 32256 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 62400.e1 has rank \(1\).

Complex multiplication

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

Modular form 62400.2.a.e

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