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SageMath
E = EllipticCurve("da1")
E.isogeny_class()
Elliptic curves in class 374790.da
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
374790.da1 | 374790da1 | \([1, 0, 0, -433431, -201221655]\) | \(-9750725017573489/13290700800000\) | \(-12274241293516800000\) | \([]\) | \(13358400\) | \(2.3554\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 374790.da1 has rank \(0\).
Complex multiplication
The elliptic curves in class 374790.da do not have complex multiplication.Modular form 374790.2.a.da
sage: E.q_eigenform(10)