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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 505663.a
sage: E.isogeny_class().curves
LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
---|---|---|---|---|---|---|
505663.a1 | \([1, 1, 1, 17, 28]\) | \(541343375/505663\) | \(-505663\) | \([]\) | \(57504\) | \(-0.21832\) |
Rank
sage: E.rank()
The elliptic curve 505663.a1 has rank \(2\).
Complex multiplication
The elliptic curves in class 505663.a do not have complex multiplication.Modular form 505663.2.a.a
sage: E.q_eigenform(10)