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SageMath
E = EllipticCurve("dz1")
E.isogeny_class()
Elliptic curves in class 46800.dz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
46800.dz1 | 46800cg1 | \([0, 0, 0, -555, -13990]\) | \(-6838155/26624\) | \(-73610035200\) | \([]\) | \(25344\) | \(0.77064\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 46800.dz1 has rank \(1\).
Complex multiplication
The elliptic curves in class 46800.dz do not have complex multiplication.Modular form 46800.2.a.dz
sage: E.q_eigenform(10)