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SageMath
E = EllipticCurve("cb1")
E.isogeny_class()
Elliptic curves in class 38808cb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38808.z1 | 38808cb1 | \([0, 0, 0, -588, 1820644]\) | \(-1024/65219\) | \(-1431956645247744\) | \([]\) | \(138240\) | \(1.5870\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38808cb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 38808cb do not have complex multiplication.Modular form 38808.2.a.cb
sage: E.q_eigenform(10)