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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 77976.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
77976.c1 | 77976j1 | \([0, 0, 0, -87723, 4074246]\) | \(39366/19\) | \(36032670594533376\) | \([]\) | \(518400\) | \(1.8706\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 77976.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 77976.c do not have complex multiplication.Modular form 77976.2.a.c
sage: E.q_eigenform(10)