Properties

Label 257400ba
Number of curves $1$
Conductor $257400$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("ba1")
 
E.isogeny_class()
 

Elliptic curves in class 257400ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
257400.ba1 257400ba1 \([0, 0, 0, -48430875, 129743024375]\) \(-2757294236281534720/385319832183\) \(-1755613485383793750000\) \([]\) \(19353600\) \(3.0933\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 257400ba1 has rank \(2\).

Complex multiplication

The elliptic curves in class 257400ba do not have complex multiplication.

Modular form 257400.2.a.ba

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