Properties

Label 308112u
Number of curves $1$
Conductor $308112$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 308112u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
308112.u1 308112u1 \([0, -1, 0, -675040, 211533568]\) \(70593496254289/824180736\) \(397164705421983744\) \([]\) \(3991680\) \(2.1892\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 308112u1 has rank \(0\).

Complex multiplication

The elliptic curves in class 308112u do not have complex multiplication.

Modular form 308112.2.a.u

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + q^{9} - q^{11} + 2 q^{13} - q^{15} + 5 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display