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SageMath
E = EllipticCurve("qi1")
E.isogeny_class()
Elliptic curves in class 187200.qi
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 187200.qi1 | 187200gi1 | \([0, 0, 0, 1050, -89750]\) | \(175616/4875\) | \(-3553875000000\) | \([]\) | \(368640\) | \(1.0883\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 187200.qi1 has rank \(0\).
Complex multiplication
The elliptic curves in class 187200.qi do not have complex multiplication.Modular form 187200.2.a.qi
sage: E.q_eigenform(10)