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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 33462be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33462.bc1 | 33462be1 | \([1, -1, 0, -909, -3483]\) | \(674636521/342144\) | \(42152482944\) | \([]\) | \(26880\) | \(0.73120\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33462be1 has rank \(1\).
Complex multiplication
The elliptic curves in class 33462be do not have complex multiplication.Modular form 33462.2.a.be
sage: E.q_eigenform(10)