Properties

Label 2960.e
Number of curves $1$
Conductor $2960$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 2960.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2960.e1 2960f1 \([0, -1, 0, -2501, -47315]\) \(422550360064/23125\) \(94720000\) \([]\) \(1920\) \(0.59667\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2960.e1 has rank \(0\).

Complex multiplication

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

Modular form 2960.2.a.e

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + 5 q^{7} - 2 q^{9} - 3 q^{11} - 2 q^{13} + q^{15} - 4 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display