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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 309168x
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 309168.x1 | 309168x1 | \([0, 0, 0, -132528, -34924624]\) | \(-86210302283776/126575253531\) | \(-377951681839509504\) | \([]\) | \(2419200\) | \(2.0647\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 309168x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 309168x do not have complex multiplication.Modular form 309168.2.a.x
sage: E.q_eigenform(10)