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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 47040c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
47040.bv1 | 47040c1 | \([0, -1, 0, -1241, 28155]\) | \(-1376628736/1366875\) | \(-210039480000\) | \([]\) | \(53760\) | \(0.86834\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 47040c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 47040c do not have complex multiplication.Modular form 47040.2.a.c
sage: E.q_eigenform(10)