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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 129430a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 129430.b1 | 129430a1 | \([1, 1, 0, -5413, -155983]\) | \(-9489126544801/30012500\) | \(-55493112500\) | \([]\) | \(215040\) | \(0.92874\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 129430a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 129430a do not have complex multiplication.Modular form 129430.2.a.a
sage: E.q_eigenform(10)