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SageMath
E = EllipticCurve("hj1")
E.isogeny_class()
Elliptic curves in class 47040hj
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
47040.fr1 | 47040hj1 | \([0, 1, 0, -9376705, 12710246975]\) | \(-1231272543361/230400000\) | \(-17060933761656422400000\) | \([]\) | \(4193280\) | \(2.9902\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 47040hj1 has rank \(1\).
Complex multiplication
The elliptic curves in class 47040hj do not have complex multiplication.Modular form 47040.2.a.hj
sage: E.q_eigenform(10)