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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 13800h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13800.a1 | 13800h1 | \([0, -1, 0, -5033, 139437]\) | \(-3525581824/9315\) | \(-37260000000\) | \([]\) | \(18432\) | \(0.90347\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13800h1 has rank \(2\).
Complex multiplication
The elliptic curves in class 13800h do not have complex multiplication.Modular form 13800.2.a.h
sage: E.q_eigenform(10)