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SageMath
E = EllipticCurve("dx1")
E.isogeny_class()
Elliptic curves in class 185130dx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
185130.e1 | 185130dx1 | \([1, -1, 0, -10423469700, 409784133721936]\) | \(-72861639994809235116611/36094044206592000\) | \(-62043635914727653833343488000\) | \([]\) | \(392325120\) | \(4.4780\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 185130dx1 has rank \(0\).
Complex multiplication
The elliptic curves in class 185130dx do not have complex multiplication.Modular form 185130.2.a.dx
sage: E.q_eigenform(10)