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SageMath
E = EllipticCurve("he1")
E.isogeny_class()
Elliptic curves in class 217800.he
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
217800.he1 | 217800em1 | \([0, 0, 0, -254100, 58963300]\) | \(-8780800/2187\) | \(-451910471712480000\) | \([]\) | \(2903040\) | \(2.1056\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 217800.he1 has rank \(0\).
Complex multiplication
The elliptic curves in class 217800.he do not have complex multiplication.Modular form 217800.2.a.he
sage: E.q_eigenform(10)