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SageMath
E = EllipticCurve("cf1")
E.isogeny_class()
Elliptic curves in class 20160.cf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
20160.cf1 | 20160eb1 | \([0, 0, 0, -678, 6802]\) | \(-738763264/875\) | \(-40824000\) | \([]\) | \(5760\) | \(0.37195\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20160.cf1 has rank \(0\).
Complex multiplication
The elliptic curves in class 20160.cf do not have complex multiplication.Modular form 20160.2.a.cf
sage: E.q_eigenform(10)