Properties

Label 310464.r
Number of curves $1$
Conductor $310464$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 310464.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
310464.r1 310464r1 \([0, 0, 0, -17645292, -28529066160]\) \(551516475321/5632\) \(6204608972096274432\) \([]\) \(16257024\) \(2.7642\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 310464.r1 has rank \(0\).

Complex multiplication

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

Modular form 310464.2.a.r

sage: E.q_eigenform(10)
 
\(q - 4 q^{5} + q^{11} + q^{13} - 2 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display