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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 304200p
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 304200.p1 | 304200p1 | \([0, 0, 0, -2142075, -46411625]\) | \(43264/25\) | \(628117753487006250000\) | \([]\) | \(10782720\) | \(2.6803\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 304200p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 304200p do not have complex multiplication.Modular form 304200.2.a.p
sage: E.q_eigenform(10)