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SageMath
E = EllipticCurve("dk1")
E.isogeny_class()
Elliptic curves in class 159936.dk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
159936.dk1 | 159936jo1 | \([0, -1, 0, -10638945, 19177041633]\) | \(-12589171852447/7727480832\) | \(-81744815612116605075456\) | \([]\) | \(14708736\) | \(3.0984\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 159936.dk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 159936.dk do not have complex multiplication.Modular form 159936.2.a.dk
sage: E.q_eigenform(10)