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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 11700.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11700.c1 | 11700u1 | \([0, 0, 0, -13638000, 19714412500]\) | \(-769623354048512/15247889631\) | \(-5557855770499500000000\) | \([]\) | \(672000\) | \(2.9653\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11700.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 11700.c do not have complex multiplication.Modular form 11700.2.a.c
sage: E.q_eigenform(10)