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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 338100.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
338100.i1 | 338100i1 | \([0, -1, 0, -2508, 49512]\) | \(-8904784/69\) | \(-13524000000\) | \([]\) | \(241920\) | \(0.77323\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 338100.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 338100.i do not have complex multiplication.Modular form 338100.2.a.i
sage: E.q_eigenform(10)