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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 46090a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 46090.d1 | 46090a1 | \([1, -1, 0, -20, -104]\) | \(-909853209/4609000\) | \(-4609000\) | \([]\) | \(10656\) | \(-0.037023\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 46090a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 46090a do not have complex multiplication.Modular form 46090.2.a.a
sage: E.q_eigenform(10)