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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 35882.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
35882.a1 | 35882b1 | \([1, -1, 0, -64, 244]\) | \(-29246580441/5525828\) | \(-5525828\) | \([]\) | \(34944\) | \(0.017819\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35882.a1 has rank \(3\).
Complex multiplication
The elliptic curves in class 35882.a do not have complex multiplication.Modular form 35882.2.a.a
sage: E.q_eigenform(10)