Properties

Label 1425.b
Number of curves $1$
Conductor $1425$
CM no
Rank $0$

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

Elliptic curves in class 1425.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1425.b1 1425e1 \([1, 1, 1, 462, 2856]\) \(17446602575/15000633\) \(-9375395625\) \([]\) \(1008\) \(0.60102\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1425.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 1425.b do not have complex multiplication.

Modular form 1425.2.a.b

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