Properties

Label 25230.e
Number of curves $1$
Conductor $25230$
CM no
Rank $0$

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

Elliptic curves in class 25230.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
25230.e1 25230c1 \([1, 1, 0, -179817, 21950469]\) \(764581408291686481/193273528320000\) \(162543037317120000\) \([]\) \(336000\) \(2.0123\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25230.e1 has rank \(0\).

Complex multiplication

The elliptic curves in class 25230.e do not have complex multiplication.

Modular form 25230.2.a.e

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{5} + q^{6} + q^{7} - q^{8} + q^{9} - q^{10} + 4 q^{11} - q^{12} + 4 q^{13} - q^{14} - q^{15} + q^{16} + 5 q^{17} - q^{18} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display