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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 121275.be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
121275.be1 | 121275bv1 | \([1, -1, 1, 295, 3322]\) | \(4725/11\) | \(-6630710625\) | \([]\) | \(55296\) | \(0.56860\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 121275.be1 has rank \(1\).
Complex multiplication
The elliptic curves in class 121275.be do not have complex multiplication.Modular form 121275.2.a.be
sage: E.q_eigenform(10)