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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 15456.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
15456.h1 | 15456a1 | \([0, -1, 0, -77, 357]\) | \(-12487168/4347\) | \(-17805312\) | \([]\) | \(4224\) | \(0.10254\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15456.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 15456.h do not have complex multiplication.Modular form 15456.2.a.h
sage: E.q_eigenform(10)