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SageMath
E = EllipticCurve("eh1")
E.isogeny_class()
Elliptic curves in class 173400.eh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
173400.eh1 | 173400ct1 | \([0, 1, 0, -49753, 4242923]\) | \(1472795466752/4782969\) | \(44232897312000\) | \([]\) | \(483840\) | \(1.4841\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 173400.eh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 173400.eh do not have complex multiplication.Modular form 173400.2.a.eh
sage: E.q_eigenform(10)