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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 40310.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
40310.i1 | 40310j1 | \([1, 1, 0, -6609627, -6543551459]\) | \(-31934099190271784872597561/1456024407611801600\) | \(-1456024407611801600\) | \([]\) | \(1175040\) | \(2.5611\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40310.i1 has rank \(1\).
Complex multiplication
The elliptic curves in class 40310.i do not have complex multiplication.Modular form 40310.2.a.i
sage: E.q_eigenform(10)