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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 124950bi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
124950.r1 | 124950bi1 | \([1, 1, 0, -95921200, 366026464000]\) | \(-8668683959667221/124892886528\) | \(-1406216088182619000000000\) | \([]\) | \(25401600\) | \(3.4384\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 124950bi1 has rank \(0\).
Complex multiplication
The elliptic curves in class 124950bi do not have complex multiplication.Modular form 124950.2.a.bi
sage: E.q_eigenform(10)