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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 155848a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 155848.b1 | 155848a1 | \([0, 0, 0, 2955425, 49534098031]\) | \(100718081964000000/37453512751940327\) | \(-1061618920069442522247152\) | \([]\) | \(26438400\) | \(3.2893\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 155848a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 155848a do not have complex multiplication.Modular form 155848.2.a.a
sage: E.q_eigenform(10)