Properties

Label 310464.ba
Number of curves $1$
Conductor $310464$
CM no
Rank $1$

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

Elliptic curves in class 310464.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
310464.ba1 310464ba1 \([0, 0, 0, -78204, -18689384]\) \(-1755904/3993\) \(-120284358200810496\) \([]\) \(2752512\) \(1.9659\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 310464.ba1 has rank \(1\).

Complex multiplication

The elliptic curves in class 310464.ba do not have complex multiplication.

Modular form 310464.2.a.ba

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} - q^{11} - 5 q^{13} + 4 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display