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SageMath
E = EllipticCurve("tu1")
E.isogeny_class()
Elliptic curves in class 235200.tu
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 235200.tu1 | 235200tu1 | \([0, 1, 0, -493568833, -4223666185537]\) | \(-1103770289367265/891813888\) | \(-10743911639993548800000000\) | \([]\) | \(105062400\) | \(3.7326\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 235200.tu1 has rank \(1\).
Complex multiplication
The elliptic curves in class 235200.tu do not have complex multiplication.Modular form 235200.2.a.tu
sage: E.q_eigenform(10)