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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 2184.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2184.b1 | 2184d1 | \([0, -1, 0, -110879497, 449437602349]\) | \(-588894491652244161881463808/13658611812026920011\) | \(-3496604623878891522816\) | \([]\) | \(443520\) | \(3.2465\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2184.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2184.b do not have complex multiplication.Modular form 2184.2.a.b
sage: E.q_eigenform(10)