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SageMath
E = EllipticCurve("dk1")
E.isogeny_class()
Elliptic curves in class 331200.dk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
331200.dk1 | 331200dk1 | \([0, 0, 0, 6853200, 30368108000]\) | \(190737654201344/2245153696875\) | \(-418999563525600000000000\) | \([]\) | \(29491200\) | \(3.2136\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 331200.dk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 331200.dk do not have complex multiplication.Modular form 331200.2.a.dk
sage: E.q_eigenform(10)