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SageMath
E = EllipticCurve("li1")
E.isogeny_class()
Elliptic curves in class 78400.li
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
78400.li1 | 78400de1 | \([0, 0, 0, -700, 14000]\) | \(-3024/5\) | \(-62720000000\) | \([]\) | \(110592\) | \(0.76271\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 78400.li1 has rank \(0\).
Complex multiplication
The elliptic curves in class 78400.li do not have complex multiplication.Modular form 78400.2.a.li
sage: E.q_eigenform(10)