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SageMath
E = EllipticCurve("dl1")
E.isogeny_class()
Elliptic curves in class 182070dl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
182070.o1 | 182070dl1 | \([1, -1, 0, 9272970, 974360776]\) | \(418557259677940327871/244176605948362500\) | \(-51443371517806959862500\) | \([]\) | \(17510400\) | \(3.0473\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 182070dl1 has rank \(0\).
Complex multiplication
The elliptic curves in class 182070dl do not have complex multiplication.Modular form 182070.2.a.dl
sage: E.q_eigenform(10)