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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 266616.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
266616.i1 | 266616i1 | \([0, 0, 0, -1867899, -1395092554]\) | \(-3261064466/1917027\) | \(-423694402389361022976\) | \([]\) | \(10137600\) | \(2.6605\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 266616.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 266616.i do not have complex multiplication.Modular form 266616.2.a.i
sage: E.q_eigenform(10)