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SageMath
E = EllipticCurve("cf1")
E.isogeny_class()
Elliptic curves in class 320790.cf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
320790.cf1 | 320790cf1 | \([1, 1, 1, -81215, 11680805]\) | \(-2454365649169/1035763200\) | \(-25000805707660800\) | \([]\) | \(4822272\) | \(1.8543\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 320790.cf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 320790.cf do not have complex multiplication.Modular form 320790.2.a.cf
sage: E.q_eigenform(10)