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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 140524.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
140524.a1 | 140524a1 | \([0, 1, 0, -39445, 3014007]\) | \(-4194304/19\) | \(-30747109870336\) | \([]\) | \(487620\) | \(1.4397\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 140524.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 140524.a do not have complex multiplication.Modular form 140524.2.a.a
sage: E.q_eigenform(10)