Properties

Label 2960.b
Number of curves $1$
Conductor $2960$
CM no
Rank $1$

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

Elliptic curves in class 2960.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2960.b1 2960d1 \([0, 1, 0, 0, 148]\) \(-2/4625\) \(-9472000\) \([]\) \(480\) \(0.017538\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2960.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 2960.b do not have complex multiplication.

Modular form 2960.2.a.b

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + q^{5} - 3 q^{7} + q^{9} - 3 q^{11} - 2 q^{15} + 5 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display