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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 141610.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
141610.i1 | 141610by1 | \([1, 1, 0, -3236083, 5958815213]\) | \(-26934258841/94699520\) | \(-13177275505585108090880\) | \([]\) | \(7741440\) | \(2.9304\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141610.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 141610.i do not have complex multiplication.Modular form 141610.2.a.i
sage: E.q_eigenform(10)