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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 71148a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 71148.bi1 | 71148a1 | \([0, -1, 0, -656342276, 6472297237848]\) | \(-8985792737264/2187\) | \(-7610395639235215825152\) | \([]\) | \(29804544\) | \(3.5758\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 71148a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 71148a do not have complex multiplication.Modular form 71148.2.a.a
sage: E.q_eigenform(10)