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SageMath
E = EllipticCurve("he1")
E.isogeny_class()
Elliptic curves in class 487872he
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
487872.he1 | 487872he1 | \([0, 0, 0, 393492, 339490184]\) | \(137566156032/1096135733\) | \(-53688858125116161024\) | \([]\) | \(10321920\) | \(2.4673\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 487872he1 has rank \(0\).
Complex multiplication
The elliptic curves in class 487872he do not have complex multiplication.Modular form 487872.2.a.he
sage: E.q_eigenform(10)