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SageMath
E = EllipticCurve("dh1")
E.isogeny_class()
Elliptic curves in class 47775.dh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
47775.dh1 | 47775y1 | \([0, -1, 1, 14292, 759443]\) | \(28672/39\) | \(-439115701171875\) | \([]\) | \(231840\) | \(1.4954\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 47775.dh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 47775.dh do not have complex multiplication.Modular form 47775.2.a.dh
sage: E.q_eigenform(10)