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SageMath
E = EllipticCurve("cb1")
E.isogeny_class()
Elliptic curves in class 39200cb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
39200.ct1 | 39200cb1 | \([0, -1, 0, -408, -3688]\) | \(-19208/5\) | \(-1960000000\) | \([]\) | \(16128\) | \(0.50003\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 39200cb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 39200cb do not have complex multiplication.Modular form 39200.2.a.cb
sage: E.q_eigenform(10)