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SageMath
E = EllipticCurve("cb1")
E.isogeny_class()
Elliptic curves in class 54096cb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54096.e1 | 54096cb1 | \([0, -1, 0, -4023112, -3119902736]\) | \(-14943832855786297/85501108224\) | \(-41202155034400260096\) | \([]\) | \(1797120\) | \(2.6055\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54096cb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 54096cb do not have complex multiplication.Modular form 54096.2.a.cb
sage: E.q_eigenform(10)