Properties

Label 310464a
Number of curves $1$
Conductor $310464$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 310464a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
310464.a1 310464a1 \([0, 0, 0, -8232, -648270]\) \(-6193152/14641\) \(-145847436090048\) \([]\) \(1354752\) \(1.4060\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 310464a1 has rank \(1\).

Complex multiplication

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

Modular form 310464.2.a.a

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