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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 301665.bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
301665.bc1 | 301665bc1 | \([0, 1, 1, -257131, -50276144]\) | \(-11125051061994029056/1195810546875\) | \(-202091982421875\) | \([]\) | \(1751040\) | \(1.7755\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 301665.bc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 301665.bc do not have complex multiplication.Modular form 301665.2.a.bc
sage: E.q_eigenform(10)