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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 466578.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
466578.a1 | 466578a1 | \([1, -1, 0, -238149, -9361783481]\) | \(-49/1242\) | \(-37861388805006678053898\) | \([]\) | \(72382464\) | \(3.0112\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 466578.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 466578.a do not have complex multiplication.Modular form 466578.2.a.a
sage: E.q_eigenform(10)