Properties

Label 13872e
Number of curves $1$
Conductor $13872$
CM no
Rank $0$

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

Elliptic curves in class 13872e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13872.k1 13872e1 \([0, -1, 0, -963, 26406]\) \(-73984000/177147\) \(-236727913392\) \([]\) \(15840\) \(0.87068\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13872e1 has rank \(0\).

Complex multiplication

The elliptic curves in class 13872e do not have complex multiplication.

Modular form 13872.2.a.e

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{7} + q^{9} + 6 q^{11} + 5 q^{13} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display