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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 380926a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 380926.a1 | 380926a1 | \([1, -1, 0, -462331, -120334187]\) | \(1617907473/8464\) | \(57174879475486864\) | \([]\) | \(11681280\) | \(2.0606\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 380926a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 380926a do not have complex multiplication.Modular form 380926.2.a.a
sage: E.q_eigenform(10)