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SageMath
E = EllipticCurve("bl1")
E.isogeny_class()
Elliptic curves in class 80688bl
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 80688.x1 | 80688bl1 | \([0, 1, 0, -545693504, -4901074815948]\) | \(549464024729857/725594112\) | \(23731465138218797201620992\) | \([]\) | \(21821184\) | \(3.7755\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 80688bl1 has rank \(0\).
Complex multiplication
The elliptic curves in class 80688bl do not have complex multiplication.Modular form 80688.2.a.bl
sage: E.q_eigenform(10)