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SageMath
E = EllipticCurve("cc1")
E.isogeny_class()
Elliptic curves in class 162288cc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
162288.ej1 | 162288cc1 | \([0, 0, 0, -4339587, 3491360642]\) | \(-25727239787761/101406816\) | \(-35624014853245894656\) | \([]\) | \(3317760\) | \(2.6092\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162288cc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 162288cc do not have complex multiplication.Modular form 162288.2.a.cc
sage: E.q_eigenform(10)