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SageMath
E = EllipticCurve("dk1")
E.isogeny_class()
Elliptic curves in class 369600.dk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
369600.dk1 | 369600dk1 | \([0, -1, 0, -1400833, -1293790463]\) | \(-237505212050/427901859\) | \(-547714379520000000000\) | \([]\) | \(19906560\) | \(2.6695\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 369600.dk1 has rank \(0\).
Complex multiplication
The elliptic curves in class 369600.dk do not have complex multiplication.Modular form 369600.2.a.dk
sage: E.q_eigenform(10)