Properties

Label 7920.e
Number of curves $1$
Conductor $7920$
CM no
Rank $0$

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

Elliptic curves in class 7920.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7920.e1 7920e1 \([0, 0, 0, -603, -6102]\) \(-16241202/1375\) \(-2052864000\) \([]\) \(4032\) \(0.53187\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7920.e1 has rank \(0\).

Complex multiplication

The elliptic curves in class 7920.e do not have complex multiplication.

Modular form 7920.2.a.e

sage: E.q_eigenform(10)
 
\(q - q^{5} - q^{7} - q^{11} - 6 q^{13} - 3 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display