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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 78897h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
78897.m1 | 78897h1 | \([0, -1, 1, -841664, -296926513]\) | \(-2731787761881088/19171971\) | \(-462764772878499\) | \([]\) | \(1188864\) | \(1.9934\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 78897h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 78897h do not have complex multiplication.Modular form 78897.2.a.h
sage: E.q_eigenform(10)