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SageMath
E = EllipticCurve("br1")
E.isogeny_class()
Elliptic curves in class 112710.br
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
112710.br1 | 112710bv1 | \([1, 1, 1, -6717811, -6828321487]\) | \(-4806353270849329/103667466240\) | \(-723159099013296291840\) | \([]\) | \(8225280\) | \(2.7923\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 112710.br1 has rank \(1\).
Complex multiplication
The elliptic curves in class 112710.br do not have complex multiplication.Modular form 112710.2.a.br
sage: E.q_eigenform(10)