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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 361998.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
361998.i1 | 361998i1 | \([1, -1, 0, -12453, -77843531]\) | \(-1638858339/20087188576\) | \(-2617839610290017568\) | \([]\) | \(5644800\) | \(2.2130\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 361998.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 361998.i do not have complex multiplication.Modular form 361998.2.a.i
sage: E.q_eigenform(10)