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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 504521.b
sage: E.isogeny_class().curves
LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
---|---|---|---|---|---|---|
504521.b1 | \([1, 0, 1, -5, -35]\) | \(-10218313/504521\) | \(-504521\) | \([]\) | \(99904\) | \(-0.22575\) |
Rank
sage: E.rank()
The elliptic curve 504521.b1 has rank \(2\).
Complex multiplication
The elliptic curves in class 504521.b do not have complex multiplication.Modular form 504521.2.a.b
sage: E.q_eigenform(10)