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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 101150bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
101150.z1 | 101150bc1 | \([1, 0, 1, -13156, 951508]\) | \(-83453453/81634\) | \(-246305788468250\) | \([]\) | \(331776\) | \(1.4574\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 101150bc1 has rank \(2\).
Complex multiplication
The elliptic curves in class 101150bc do not have complex multiplication.Modular form 101150.2.a.bc
sage: E.q_eigenform(10)