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SageMath
E = EllipticCurve("cz1")
E.isogeny_class()
Elliptic curves in class 138600cz
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
138600.b1 | 138600cz1 | \([0, 0, 0, -1875, -5971250]\) | \(-1250/26411\) | \(-15402895200000000\) | \([]\) | \(829440\) | \(1.7850\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 138600cz1 has rank \(1\).
Complex multiplication
The elliptic curves in class 138600cz do not have complex multiplication.Modular form 138600.2.a.cz
sage: E.q_eigenform(10)