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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 304920a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 304920.a1 | 304920a1 | \([0, 0, 0, 894927132, -6286254079292]\) | \(4863499116441965568/3861966294921875\) | \(-62942845878126905575500000000\) | \([]\) | \(220796928\) | \(4.2139\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 304920a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 304920a do not have complex multiplication.Modular form 304920.2.a.a
sage: E.q_eigenform(10)