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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 44233.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
44233.a1 | 44233a1 | \([1, 1, 1, -137, 600]\) | \(-284500822033/21983801\) | \(-21983801\) | \([]\) | \(14208\) | \(0.15646\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 44233.a1 has rank \(3\).
Complex multiplication
The elliptic curves in class 44233.a do not have complex multiplication.Modular form 44233.2.a.a
sage: E.q_eigenform(10)