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SageMath
E = EllipticCurve("ez1")
E.isogeny_class()
Elliptic curves in class 145600.ez
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 145600.ez1 | 145600gd1 | \([0, 0, 0, 100, 250]\) | \(110592/91\) | \(-91000000\) | \([]\) | \(34560\) | \(0.21496\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 145600.ez1 has rank \(0\).
Complex multiplication
The elliptic curves in class 145600.ez do not have complex multiplication.Modular form 145600.2.a.ez
sage: E.q_eigenform(10)