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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 36414h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
36414.e1 | 36414h1 | \([1, -1, 0, -1769601, -905700419]\) | \(-3253829409099/307328\) | \(-57883830736346496\) | \([]\) | \(1096704\) | \(2.2537\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 36414h1 has rank \(0\).
Complex multiplication
The elliptic curves in class 36414h do not have complex multiplication.Modular form 36414.2.a.h
sage: E.q_eigenform(10)