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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 355740i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
355740.i1 | 355740i1 | \([0, -1, 0, -557146, -177150455]\) | \(-155793446144/20503125\) | \(-2517111290474550000\) | \([]\) | \(5806080\) | \(2.2637\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 355740i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 355740i do not have complex multiplication.Modular form 355740.2.a.i
sage: E.q_eigenform(10)