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SageMath
E = EllipticCurve("l1")
E.isogeny_class()
Elliptic curves in class 51800.l
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
51800.l1 | 51800g1 | \([0, 0, 0, 2125, -31250]\) | \(265302/259\) | \(-1036000000000\) | \([]\) | \(58240\) | \(0.99256\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 51800.l1 has rank \(0\).
Complex multiplication
The elliptic curves in class 51800.l do not have complex multiplication.Modular form 51800.2.a.l
sage: E.q_eigenform(10)