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SageMath
E = EllipticCurve("dk1")
E.isogeny_class()
Elliptic curves in class 163254dk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
163254.o1 | 163254dk1 | \([1, 1, 0, -610262, 183260628]\) | \(-30812503761481/3956736\) | \(-3227631110086656\) | \([]\) | \(2368704\) | \(1.9971\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 163254dk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 163254dk do not have complex multiplication.Modular form 163254.2.a.dk
sage: E.q_eigenform(10)