Properties

Label 285912.ba
Number of curves $1$
Conductor $285912$
CM no
Rank $0$

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

Elliptic curves in class 285912.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
285912.ba1 285912ba1 \([0, 0, 0, -9774075, 11771374646]\) \(-11281250/11\) \(-100689961618035136512\) \([]\) \(10768896\) \(2.7589\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 285912.ba1 has rank \(0\).

Complex multiplication

The elliptic curves in class 285912.ba do not have complex multiplication.

Modular form 285912.2.a.ba

sage: E.q_eigenform(10)
 
\(q + 2 q^{7} - q^{11} + 5 q^{13} - 2 q^{17} + O(q^{20})\) Copy content Toggle raw display