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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 296208p
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 296208.p1 | 296208p1 | \([0, 0, 0, 556116, 62125756]\) | \(57530252288/38336139\) | \(-12674533266849712896\) | \([]\) | \(5491200\) | \(2.3543\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 296208p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 296208p do not have complex multiplication.Modular form 296208.2.a.p
sage: E.q_eigenform(10)