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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 445280.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
445280.x1 | 445280x1 | \([0, 0, 0, -77, 264]\) | \(-6519744/115\) | \(-890560\) | \([]\) | \(50688\) | \(-0.061193\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 445280.x1 has rank \(2\).
Complex multiplication
The elliptic curves in class 445280.x do not have complex multiplication.Modular form 445280.2.a.x
sage: E.q_eigenform(10)