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SageMath
E = EllipticCurve("ct1")
E.isogeny_class()
Elliptic curves in class 474320.ct
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
474320.ct1 | 474320ct1 | \([0, -1, 0, -1166829176, -13913573617040]\) | \(85713473128801/8800000000\) | \(18037615757002601267200000000\) | \([]\) | \(255467520\) | \(4.1574\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 474320.ct1 has rank \(0\).
Complex multiplication
The elliptic curves in class 474320.ct do not have complex multiplication.Modular form 474320.2.a.ct
sage: E.q_eigenform(10)