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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 455175v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
455175.v1 | 455175v1 | \([0, 0, 1, -17318325, -27674161344]\) | \(7229403136/19845\) | \(1576848715277096953125\) | \([]\) | \(41361408\) | \(2.9407\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 455175v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 455175v do not have complex multiplication.Modular form 455175.2.a.v
sage: E.q_eigenform(10)