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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 10350.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
10350.h1 | 10350h1 | \([1, -1, 0, -207, 621]\) | \(53969305/23552\) | \(429235200\) | \([]\) | \(5760\) | \(0.35249\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 10350.h1 has rank \(2\).
Complex multiplication
The elliptic curves in class 10350.h do not have complex multiplication.Modular form 10350.2.a.h
sage: E.q_eigenform(10)