Properties

Label 25383.c
Number of curves $1$
Conductor $25383$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 25383.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
25383.c1 25383c1 \([0, 1, 1, -245, 1397]\) \(1633027096576/76149\) \(76149\) \([]\) \(3072\) \(0.011420\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25383.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 25383.c do not have complex multiplication.

Modular form 25383.2.a.c

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