Properties

Label 25920b
Number of curves $1$
Conductor $25920$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 25920b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
25920.s1 25920b1 \([0, 0, 0, -108, 378]\) \(36864/5\) \(18895680\) \([]\) \(5760\) \(0.12338\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25920b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 25920b do not have complex multiplication.

Modular form 25920.2.a.b

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