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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 215600.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
215600.i1 | 215600e1 | \([0, 0, 0, -3812935, 2905796530]\) | \(-8142048846461520/132632423693\) | \(-99866060896369644800\) | \([]\) | \(15482880\) | \(2.6377\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 215600.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 215600.i do not have complex multiplication.Modular form 215600.2.a.i
sage: E.q_eigenform(10)