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SageMath
E = EllipticCurve("dz1")
E.isogeny_class()
Elliptic curves in class 257600dz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
257600.dz1 | 257600dz1 | \([0, 1, 0, -61633, -14201537]\) | \(-158034076225/438790688\) | \(-71891466321920000\) | \([]\) | \(1843200\) | \(1.9217\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 257600dz1 has rank \(1\).
Complex multiplication
The elliptic curves in class 257600dz do not have complex multiplication.Modular form 257600.2.a.dz
sage: E.q_eigenform(10)