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SageMath
E = EllipticCurve("dr1")
E.isogeny_class()
Elliptic curves in class 485100.dr
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
485100.dr1 | 485100dr1 | \([0, 0, 0, 1234800, 260508500]\) | \(47775744/34375\) | \(-149812765987500000000\) | \([]\) | \(12902400\) | \(2.5597\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 485100.dr1 has rank \(0\).
Complex multiplication
The elliptic curves in class 485100.dr do not have complex multiplication.Modular form 485100.2.a.dr
sage: E.q_eigenform(10)