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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 303600.bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
303600.bc1 | 303600bc1 | \([0, -1, 0, -42008, 3382512]\) | \(-128100283921/2459160\) | \(-157386240000000\) | \([]\) | \(967680\) | \(1.5182\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 303600.bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 303600.bc do not have complex multiplication.Modular form 303600.2.a.bc
sage: E.q_eigenform(10)