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SageMath
E = EllipticCurve("lo1")
E.isogeny_class()
Elliptic curves in class 78400.lo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
78400.lo1 | 78400dg1 | \([0, 0, 0, -14087500, -22003450000]\) | \(-1026590625/100352\) | \(-30224159866880000000000\) | \([]\) | \(12165120\) | \(3.0545\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 78400.lo1 has rank \(0\).
Complex multiplication
The elliptic curves in class 78400.lo do not have complex multiplication.Modular form 78400.2.a.lo
sage: E.q_eigenform(10)