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SageMath
E = EllipticCurve("hm1")
E.isogeny_class()
Elliptic curves in class 381150hm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
381150.hm1 | 381150hm1 | \([1, -1, 0, 1097508, -1270001584]\) | \(10733445/57344\) | \(-781079827651200000000\) | \([]\) | \(23961600\) | \(2.6910\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 381150hm1 has rank \(0\).
Complex multiplication
The elliptic curves in class 381150hm do not have complex multiplication.Modular form 381150.2.a.hm
sage: E.q_eigenform(10)