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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 46893.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
46893.c1 | 46893q1 | \([1, 0, 0, -1, 4052]\) | \(-1/60291\) | \(-7093175859\) | \([]\) | \(20736\) | \(0.56908\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 46893.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 46893.c do not have complex multiplication.Modular form 46893.2.a.c
sage: E.q_eigenform(10)