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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 344760i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
344760.i1 | 344760i1 | \([0, -1, 0, -41770096, -65532900980]\) | \(4824400701890978/1680908203125\) | \(2808153007042500000000000\) | \([]\) | \(58665984\) | \(3.3927\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 344760i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 344760i do not have complex multiplication.Modular form 344760.2.a.i
sage: E.q_eigenform(10)