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SageMath
E = EllipticCurve("dk1")
E.isogeny_class()
Elliptic curves in class 435120dk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
435120.dk1 | 435120dk1 | \([0, -1, 0, 1160, -59408]\) | \(357911/3330\) | \(-1604694712320\) | \([]\) | \(725760\) | \(1.0232\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 435120dk1 has rank \(0\).
Complex multiplication
The elliptic curves in class 435120dk do not have complex multiplication.Modular form 435120.2.a.dk
sage: E.q_eigenform(10)