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SageMath
E = EllipticCurve("co1")
E.isogeny_class()
Elliptic curves in class 38808co
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38808.j1 | 38808co1 | \([0, 0, 0, -1764, 37044]\) | \(-27648/11\) | \(-241517396736\) | \([]\) | \(40320\) | \(0.89305\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38808co1 has rank \(1\).
Complex multiplication
The elliptic curves in class 38808co do not have complex multiplication.Modular form 38808.2.a.co
sage: E.q_eigenform(10)