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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 1073.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1073.a1 | 1073a1 | \([0, -1, 1, -45, 132]\) | \(10303307776/31117\) | \(31117\) | \([]\) | \(128\) | \(-0.26892\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1073.a1 has rank \(2\).
Complex multiplication
The elliptic curves in class 1073.a do not have complex multiplication.Modular form 1073.2.a.a
sage: E.q_eigenform(10)