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SageMath
E = EllipticCurve("ce1")
E.isogeny_class()
Elliptic curves in class 334620.ce
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 334620.ce1 | 334620ce1 | \([0, 0, 0, -850186272, -9694942225436]\) | \(-446428245279637504/8372963671875\) | \(-1274657539115975028300000000\) | \([]\) | \(168689664\) | \(3.9959\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 334620.ce1 has rank \(0\).
Complex multiplication
The elliptic curves in class 334620.ce do not have complex multiplication.Modular form 334620.2.a.ce
sage: E.q_eigenform(10)