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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 23805.x
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 23805.x1 | 23805v1 | \([0, 0, 1, -477687, 144431415]\) | \(-111701610496/18862875\) | \(-2035646820426517875\) | \([]\) | \(811008\) | \(2.2398\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 23805.x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 23805.x do not have complex multiplication.Modular form 23805.2.a.x
sage: E.q_eigenform(10)