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SageMath
E = EllipticCurve("eu1")
E.isogeny_class()
Elliptic curves in class 173400.eu
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 173400.eu1 | 173400bd1 | \([0, 1, 0, -10908, -567312]\) | \(-124176976/46875\) | \(-54187500000000\) | \([]\) | \(580608\) | \(1.3451\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 173400.eu1 has rank \(1\).
Complex multiplication
The elliptic curves in class 173400.eu do not have complex multiplication.Modular form 173400.2.a.eu
sage: E.q_eigenform(10)