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SageMath
E = EllipticCurve("fe1")
E.isogeny_class()
Elliptic curves in class 20160fe
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
20160.fa1 | 20160fe1 | \([0, 0, 0, 18, 54]\) | \(13824/35\) | \(-1632960\) | \([]\) | \(2688\) | \(-0.12405\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20160fe1 has rank \(1\).
Complex multiplication
The elliptic curves in class 20160fe do not have complex multiplication.Modular form 20160.2.a.fe
sage: E.q_eigenform(10)