Properties

Label 58800.ev
Number of curves $1$
Conductor $58800$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ev1")
 
E.isogeny_class()
 

Elliptic curves in class 58800.ev

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58800.ev1 58800ez1 \([0, -1, 0, -1196008, -578745488]\) \(-1231272543361/230400000\) \(-35404185600000000000\) \([]\) \(1797120\) \(2.4754\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 58800.ev1 has rank \(0\).

Complex multiplication

The elliptic curves in class 58800.ev do not have complex multiplication.

Modular form 58800.2.a.ev

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