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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 155298b
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 155298.ba1 | 155298b1 | \([1, 0, 0, -491084347, 4869749565269]\) | \(-13097607952622748167238309049393/2665185031727220268762646436\) | \(-2665185031727220268762646436\) | \([]\) | \(106142400\) | \(3.9849\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 155298b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 155298b do not have complex multiplication.Modular form 155298.2.a.b
sage: E.q_eigenform(10)