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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 23184a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 23184.r1 | 23184a1 | \([0, 0, 0, 204, -324]\) | \(135834624/85169\) | \(-588688128\) | \([]\) | \(8448\) | \(0.37184\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 23184a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 23184a do not have complex multiplication.Modular form 23184.2.a.a
sage: E.q_eigenform(10)