Properties

Label 353925.b
Number of curves $1$
Conductor $353925$
CM no
Rank $0$

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

Elliptic curves in class 353925.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
353925.b1 353925b1 \([0, 0, 1, -9075, -3036344]\) \(-4096/195\) \(-3934941468046875\) \([]\) \(2741760\) \(1.6724\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 353925.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 353925.b do not have complex multiplication.

Modular form 353925.2.a.b

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