Properties

Label 418950ba
Number of curves $1$
Conductor $418950$
CM no
Rank $1$

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

Elliptic curves in class 418950ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
418950.ba1 418950ba1 \([1, -1, 0, -265617, 53756541]\) \(-29705617613/658464\) \(-45939438562500000\) \([]\) \(4838400\) \(1.9860\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 418950ba1 has rank \(1\).

Complex multiplication

The elliptic curves in class 418950ba do not have complex multiplication.

Modular form 418950.2.a.ba

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{8} - 4 q^{11} - 2 q^{13} + q^{16} + 5 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display