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SageMath
E = EllipticCurve("br1")
E.isogeny_class()
Elliptic curves in class 74382br
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
74382.bk1 | 74382br1 | \([1, 0, 0, -62035, 27867461]\) | \(-224412099736609/2722801160772\) | \(-320334833763665028\) | \([]\) | \(1645056\) | \(2.0408\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 74382br1 has rank \(1\).
Complex multiplication
The elliptic curves in class 74382br do not have complex multiplication.Modular form 74382.2.a.br
sage: E.q_eigenform(10)