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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 2400.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2400.h1 | 2400x1 | \([0, -1, 0, 67, -363]\) | \(12800/27\) | \(-69120000\) | \([]\) | \(576\) | \(0.18858\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2400.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2400.h do not have complex multiplication.Modular form 2400.2.a.h
sage: E.q_eigenform(10)