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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 134310.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
134310.i1 | 134310cu1 | \([1, 1, 0, -6613, -358607]\) | \(-264384822281569/299100899700\) | \(-36191208863700\) | \([]\) | \(449280\) | \(1.2960\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 134310.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 134310.i do not have complex multiplication.Modular form 134310.2.a.i
sage: E.q_eigenform(10)