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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 273273.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
273273.c1 | 273273c1 | \([0, 1, 1, -15500, -5258158]\) | \(-1593413632/45196767\) | \(-11682227706400251\) | \([]\) | \(2985984\) | \(1.7636\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 273273.c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 273273.c do not have complex multiplication.Modular form 273273.2.a.c
sage: E.q_eigenform(10)