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SageMath
E = EllipticCurve("eq1")
E.isogeny_class()
Elliptic curves in class 162288eq
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 162288.d1 | 162288eq1 | \([0, 0, 0, -608412, 262705660]\) | \(-389094786976768/240588123669\) | \(-15400534671119985408\) | \([]\) | \(4386816\) | \(2.3836\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162288eq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 162288eq do not have complex multiplication.Modular form 162288.2.a.eq
sage: E.q_eigenform(10)