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SageMath
E = EllipticCurve("qu1")
E.isogeny_class()
Elliptic curves in class 176400qu
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 176400.y1 | 176400qu1 | \([0, 0, 0, -1194375, 523993750]\) | \(-43061200/2187\) | \(-9569923807500000000\) | \([]\) | \(5160960\) | \(2.4026\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176400qu1 has rank \(0\).
Complex multiplication
The elliptic curves in class 176400qu do not have complex multiplication.Modular form 176400.2.a.qu
sage: E.q_eigenform(10)