Properties

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

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 310464.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
310464.i1 310464i1 \([0, 0, 0, -26607, 1695400]\) \(-18595667776/323433\) \(-36231306205248\) \([]\) \(1658880\) \(1.3994\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 310464.i1 has rank \(1\).

Complex multiplication

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

Modular form 310464.2.a.i

sage: E.q_eigenform(10)
 
\(q - 4 q^{5} - q^{11} + 4 q^{13} + 7 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display