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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 7050bd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7050.bg1 | 7050bd1 | \([1, 0, 0, -10469338, -13042519708]\) | \(-8121969458732291369689/2284200000000000\) | \(-35690625000000000000\) | \([]\) | \(380160\) | \(2.7330\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7050bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 7050bd do not have complex multiplication.Modular form 7050.2.a.bd
sage: E.q_eigenform(10)