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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 490245bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
490245.bc1 | 490245bc1 | \([0, -1, 1, -519287855, 4554880579178]\) | \(-131631542171643599790505984/44988384234391875\) | \(-5292838416791969701875\) | \([]\) | \(125798400\) | \(3.5250\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 490245bc1 has rank \(2\).
Complex multiplication
The elliptic curves in class 490245bc do not have complex multiplication.Modular form 490245.2.a.bc
sage: E.q_eigenform(10)