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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 485100x
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 485100.x1 | 485100x1 | \([0, 0, 0, -840, -6860]\) | \(40960/11\) | \(17603308800\) | \([]\) | \(359424\) | \(0.67414\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 485100x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 485100x do not have complex multiplication.Modular form 485100.2.a.x
sage: E.q_eigenform(10)