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SageMath
E = EllipticCurve("da1")
E.isogeny_class()
Elliptic curves in class 379050.da
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
379050.da1 | 379050da1 | \([1, 0, 1, -796971766, 8664039408008]\) | \(-47598241178539673499145/26807802601531392\) | \(-31529917276578407144908800\) | \([]\) | \(228096000\) | \(3.8397\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 379050.da1 has rank \(1\).
Complex multiplication
The elliptic curves in class 379050.da do not have complex multiplication.Modular form 379050.2.a.da
sage: E.q_eigenform(10)