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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 67270.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
67270.a1 | 67270d1 | \([1, -1, 0, -17101360360, 798392935825216]\) | \(623225944950388227633972249/50391363524359094272000\) | \(44722520618477829332226015232000\) | \([]\) | \(566092800\) | \(4.8162\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 67270.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 67270.a do not have complex multiplication.Modular form 67270.2.a.a
sage: E.q_eigenform(10)