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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 25230a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 25230.a1 | 25230a1 | \([1, 1, 0, 1046187, -32920083]\) | \(253143649991/147456000\) | \(-73764335069577216000\) | \([]\) | \(709920\) | \(2.5017\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25230a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 25230a do not have complex multiplication.Modular form 25230.2.a.a
sage: E.q_eigenform(10)