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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 102960.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
102960.c1 | 102960x1 | \([0, 0, 0, -1908, -99252]\) | \(-4116151296/20421115\) | \(-3811070165760\) | \([]\) | \(163840\) | \(1.0985\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 102960.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 102960.c do not have complex multiplication.Modular form 102960.2.a.c
sage: E.q_eigenform(10)