Properties

Label 50400.ba
Number of curves $1$
Conductor $50400$
CM no
Rank $0$

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

Elliptic curves in class 50400.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
50400.ba1 50400t1 \([0, 0, 0, -67800, 6802000]\) \(-738763264/875\) \(-40824000000000\) \([]\) \(138240\) \(1.5232\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 50400.ba1 has rank \(0\).

Complex multiplication

The elliptic curves in class 50400.ba do not have complex multiplication.

Modular form 50400.2.a.ba

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