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SageMath
E = EllipticCurve("dh1")
E.isogeny_class()
Elliptic curves in class 388815.dh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
388815.dh1 | 388815dh1 | \([0, -1, 1, -6386, -194293]\) | \(462843904/45\) | \(2800634445\) | \([]\) | \(552960\) | \(0.84849\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 388815.dh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 388815.dh do not have complex multiplication.Modular form 388815.2.a.dh
sage: E.q_eigenform(10)