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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 13872.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13872.h1 | 13872a1 | \([0, -1, 0, -28, -80]\) | \(-34000/27\) | \(-1997568\) | \([]\) | \(1728\) | \(-0.092596\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13872.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 13872.h do not have complex multiplication.Modular form 13872.2.a.h
sage: E.q_eigenform(10)