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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 237021a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
237021.a1 | 237021a1 | \([0, -1, 1, -20732, 442772]\) | \(207474688/102789\) | \(488258464828149\) | \([]\) | \(1935360\) | \(1.5115\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 237021a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 237021a do not have complex multiplication.Modular form 237021.2.a.a
sage: E.q_eigenform(10)