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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 215600.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
215600.j1 | 215600h1 | \([0, 0, 0, -199675, -41441750]\) | \(-5729578281/1512500\) | \(-232416800000000000\) | \([]\) | \(5253120\) | \(2.0490\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 215600.j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 215600.j do not have complex multiplication.Modular form 215600.2.a.j
sage: E.q_eigenform(10)