Properties

Label 119952.e
Number of curves $1$
Conductor $119952$
CM no
Rank $1$

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

Elliptic curves in class 119952.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
119952.e1 119952dt1 \([0, 0, 0, -460992, -131574800]\) \(-629407744/70227\) \(-1208859736448544768\) \([]\) \(2419200\) \(2.2070\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 119952.e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 119952.e do not have complex multiplication.

Modular form 119952.2.a.e

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