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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 4953023.a
sage: E.isogeny_class().curves
LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
---|---|---|---|---|---|---|
4953023.a1 | \([1, -1, 1, -87, 350]\) | \(-72043225281/4953023\) | \(-4953023\) | \([]\) | \(1373056\) | \(0.035743\) |
Rank
sage: E.rank()
The elliptic curve 4953023.a1 has rank \(4\).
Complex multiplication
The elliptic curves in class 4953023.a do not have complex multiplication.Modular form 4953023.2.a.a
sage: E.q_eigenform(10)