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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 202300.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
202300.a1 | 202300a1 | \([0, 0, 0, -289000, 61412500]\) | \(-221184/7\) | \(-84481491500000000\) | \([]\) | \(3444480\) | \(2.0241\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 202300.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 202300.a do not have complex multiplication.Modular form 202300.2.a.a
sage: E.q_eigenform(10)