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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 8033.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8033.a1 | 8033a1 | \([1, 0, 1, -555, -5073]\) | \(-18857204627113/2225141\) | \(-2225141\) | \([]\) | \(2128\) | \(0.24358\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8033.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 8033.a do not have complex multiplication.Modular form 8033.2.a.a
sage: E.q_eigenform(10)