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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 277350y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
277350.y1 | 277350y1 | \([1, 1, 0, 1584555, 71772525]\) | \(556832393083/325005696\) | \(-256809874676115888000\) | \([]\) | \(12418560\) | \(2.6057\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 277350y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 277350y do not have complex multiplication.Modular form 277350.2.a.y
sage: E.q_eigenform(10)