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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 13005j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13005.d1 | 13005j1 | \([1, -1, 1, 22, -34]\) | \(5831/5\) | \(-1053405\) | \([]\) | \(2160\) | \(-0.15679\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13005j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 13005j do not have complex multiplication.Modular form 13005.2.a.j
sage: E.q_eigenform(10)