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SageMath
E = EllipticCurve("brp1")
E.isogeny_class()
Elliptic curves in class 705600.brp
sage: E.isogeny_class().curves
LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
---|---|---|---|---|---|---|
705600.brp1 | \([0, 0, 0, -1249500, -577955000]\) | \(-6288640/567\) | \(-19451756242800000000\) | \([]\) | \(11796480\) | \(2.4444\) |
Rank
sage: E.rank()
The elliptic curve 705600.brp1 has rank \(1\).
Complex multiplication
The elliptic curves in class 705600.brp do not have complex multiplication.Modular form 705600.2.a.brp
sage: E.q_eigenform(10)