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SageMath
E = EllipticCurve("dc1")
E.isogeny_class()
Elliptic curves in class 111600dc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
111600.c1 | 111600dc1 | \([0, 0, 0, -7635075, 9140357250]\) | \(-28485240894685827/4402018257760\) | \(-7606687549409280000000\) | \([]\) | \(9676800\) | \(2.9275\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 111600dc1 has rank \(1\).
Complex multiplication
The elliptic curves in class 111600dc do not have complex multiplication.Modular form 111600.2.a.dc
sage: E.q_eigenform(10)