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SageMath
E = EllipticCurve("eu1")
E.isogeny_class()
Elliptic curves in class 46800.eu
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 46800.eu1 | 46800dh1 | \([0, 0, 0, 43800, -661196500]\) | \(3186827264/64769371875\) | \(-188867488387500000000\) | \([]\) | \(1198080\) | \(2.5695\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 46800.eu1 has rank \(1\).
Complex multiplication
The elliptic curves in class 46800.eu do not have complex multiplication.Modular form 46800.2.a.eu
sage: E.q_eigenform(10)