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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 28900a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 28900.h1 | 28900a1 | \([0, 0, 0, -6800, -195500]\) | \(30081024/3125\) | \(3612500000000\) | \([]\) | \(25920\) | \(1.1448\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28900a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 28900a do not have complex multiplication.Modular form 28900.2.a.a
sage: E.q_eigenform(10)