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SageMath
E = EllipticCurve("ev1")
E.isogeny_class()
Elliptic curves in class 177450.ev
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
177450.ev1 | 177450gy1 | \([1, 0, 1, -18126, 656398]\) | \(249395415529/73513818\) | \(194122425656250\) | \([]\) | \(806400\) | \(1.4474\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 177450.ev1 has rank \(1\).
Complex multiplication
The elliptic curves in class 177450.ev do not have complex multiplication.Modular form 177450.2.a.ev
sage: E.q_eigenform(10)