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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 255024a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 255024.a1 | 255024a1 | \([0, 0, 0, -182307, -140419550]\) | \(-224412099736609/2722801160772\) | \(-8130240701246619648\) | \([]\) | \(6580224\) | \(2.3103\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 255024a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 255024a do not have complex multiplication.Modular form 255024.2.a.a
sage: E.q_eigenform(10)