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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 134749.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
134749.a1 | 134749a1 | \([1, 0, 0, -4464, -121619]\) | \(-912673/61\) | \(-657532135069\) | \([]\) | \(210496\) | \(1.0196\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 134749.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 134749.a do not have complex multiplication.Modular form 134749.2.a.a
sage: E.q_eigenform(10)