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SageMath
E = EllipticCurve("bh1")
E.isogeny_class()
Elliptic curves in class 225400.bh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
225400.bh1 | 225400w1 | \([0, 0, 0, 1798300, 121936500]\) | \(1366664500224/804542875\) | \(-378614658803500000000\) | \([]\) | \(6531840\) | \(2.6380\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 225400.bh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 225400.bh do not have complex multiplication.Modular form 225400.2.a.bh
sage: E.q_eigenform(10)