Properties

Label 58870.e
Number of curves $1$
Conductor $58870$
CM no
Rank $0$

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

Elliptic curves in class 58870.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58870.e1 58870b1 \([1, -1, 0, -3669020, -2709759280]\) \(-12983567409/31360\) \(-13193378836294303360\) \([]\) \(1559040\) \(2.5479\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 58870.e1 has rank \(0\).

Complex multiplication

The elliptic curves in class 58870.e do not have complex multiplication.

Modular form 58870.2.a.e

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} + q^{7} - q^{8} - 3 q^{9} + q^{10} - 3 q^{11} + 3 q^{13} - q^{14} + q^{16} + 3 q^{18} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display