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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 122034i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
122034.i1 | 122034i1 | \([1, 0, 0, -50886, -5442096]\) | \(-2305199161/686796\) | \(-4341486856601004\) | \([]\) | \(620928\) | \(1.7149\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 122034i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 122034i do not have complex multiplication.Modular form 122034.2.a.i
sage: E.q_eigenform(10)