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SageMath
E = EllipticCurve("er1")
E.isogeny_class()
Elliptic curves in class 162288er
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 162288.f1 | 162288er1 | \([0, 0, 0, 23373, 46305]\) | \(1029037824/596183\) | \(-818116853058288\) | \([]\) | \(903168\) | \(1.5510\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162288er1 has rank \(0\).
Complex multiplication
The elliptic curves in class 162288er do not have complex multiplication.Modular form 162288.2.a.er
sage: E.q_eigenform(10)