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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 279925a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 279925.a1 | 279925a1 | \([1, -1, 0, -142, -109]\) | \(20346417/11197\) | \(174953125\) | \([]\) | \(266240\) | \(0.27228\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 279925a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 279925a do not have complex multiplication.Modular form 279925.2.a.a
sage: E.q_eigenform(10)