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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 52983.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
52983.l1 | 52983e1 | \([1, -1, 0, -9809973, -10744808652]\) | \(170295687079857398473/17163597526568829\) | \(10522812843966556802781\) | \([]\) | \(5491200\) | \(2.9618\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 52983.l1 has rank \(1\).
Complex multiplication
The elliptic curves in class 52983.l do not have complex multiplication.Modular form 52983.2.a.l
sage: E.q_eigenform(10)