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SageMath
E = EllipticCurve("dr1")
E.isogeny_class()
Elliptic curves in class 397800.dr
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
397800.dr1 | 397800dr1 | \([0, 0, 0, -1095, 15975]\) | \(-2688885504/485537\) | \(-26218998000\) | \([]\) | \(258048\) | \(0.72428\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 397800.dr1 has rank \(1\).
Complex multiplication
The elliptic curves in class 397800.dr do not have complex multiplication.Modular form 397800.2.a.dr
sage: E.q_eigenform(10)