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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 271950bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
271950.bc1 | 271950bc1 | \([1, 1, 0, 96081625, -252518512875]\) | \(1089031338949319759/936143419500000\) | \(-84323133138703429687500000\) | \([]\) | \(83462400\) | \(3.6623\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 271950bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 271950bc do not have complex multiplication.Modular form 271950.2.a.bc
sage: E.q_eigenform(10)