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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 505061.b
sage: E.isogeny_class().curves
LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
---|---|---|---|---|---|---|
505061.b1 | \([1, 0, 1, -240, 1407]\) | \(-1519685060473/505061\) | \(-505061\) | \([]\) | \(113076\) | \(0.067280\) |
Rank
sage: E.rank()
The elliptic curve 505061.b1 has rank \(2\).
Complex multiplication
The elliptic curves in class 505061.b do not have complex multiplication.Modular form 505061.2.a.b
sage: E.q_eigenform(10)