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SageMath
E = EllipticCurve("cr1")
E.isogeny_class()
Elliptic curves in class 27072cr
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
27072.p1 | 27072cr1 | \([0, 0, 0, -444, 1366]\) | \(207474688/102789\) | \(4795723584\) | \([]\) | \(17920\) | \(0.55062\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 27072cr1 has rank \(0\).
Complex multiplication
The elliptic curves in class 27072cr do not have complex multiplication.Modular form 27072.2.a.cr
sage: E.q_eigenform(10)