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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 13167.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13167.a1 | 13167c1 | \([0, 0, 1, 39, 150]\) | \(242970624/501809\) | \(-13548843\) | \([]\) | \(4992\) | \(0.052851\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13167.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 13167.a do not have complex multiplication.Modular form 13167.2.a.a
sage: E.q_eigenform(10)