Properties

Label 23400e
Number of curves $1$
Conductor $23400$
CM no
Rank $2$

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

Elliptic curves in class 23400e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
23400.g1 23400e1 \([0, 0, 0, -300, 4500]\) \(-27648/65\) \(-7020000000\) \([]\) \(15360\) \(0.57762\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 23400e1 has rank \(2\).

Complex multiplication

The elliptic curves in class 23400e do not have complex multiplication.

Modular form 23400.2.a.e

sage: E.q_eigenform(10)
 
\(q - 3 q^{7} - 5 q^{11} + q^{13} - 3 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display