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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 3721.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3721.a1 | 3721a1 | \([1, 0, 1, -7520, 264447]\) | \(-912673/61\) | \(-3142742836021\) | \([]\) | \(7440\) | \(1.1500\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3721.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3721.a do not have complex multiplication.Modular form 3721.2.a.a
sage: E.q_eigenform(10)