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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 9240.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9240.h1 | 9240e1 | \([0, -1, 0, -36822945, -86002418043]\) | \(-21569462179645467300176896/2687170946044921875\) | \(-687915762187500000000\) | \([]\) | \(873600\) | \(3.0212\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9240.h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9240.h do not have complex multiplication.Modular form 9240.2.a.h
sage: E.q_eigenform(10)