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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 145794a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 145794.bh1 | 145794a1 | \([1, 0, 0, 80371, 15256593]\) | \(553003546537441/1287687684096\) | \(-133691598425899008\) | \([]\) | \(1451520\) | \(1.9702\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 145794a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 145794a do not have complex multiplication.Modular form 145794.2.a.a
sage: E.q_eigenform(10)