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SageMath
E = EllipticCurve("nh1")
E.isogeny_class()
Elliptic curves in class 235200.nh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
235200.nh1 | 235200nh1 | \([0, -1, 0, -4784033, 4634747937]\) | \(-1231272543361/230400000\) | \(-2265867878400000000000\) | \([]\) | \(14376960\) | \(2.8220\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 235200.nh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 235200.nh do not have complex multiplication.Modular form 235200.2.a.nh
sage: E.q_eigenform(10)