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SageMath
E = EllipticCurve("cf1")
E.isogeny_class()
Elliptic curves in class 38808cf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38808.e1 | 38808cf1 | \([0, 0, 0, -5439, 156751]\) | \(-12967168/231\) | \(-316991583216\) | \([]\) | \(61440\) | \(1.0036\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38808cf1 has rank \(2\).
Complex multiplication
The elliptic curves in class 38808cf do not have complex multiplication.Modular form 38808.2.a.cf
sage: E.q_eigenform(10)