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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 213484.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
213484.c1 | 213484c1 | \([0, -1, 0, -6554, -929675]\) | \(-87808/1007\) | \(-357112186510448\) | \([]\) | \(909792\) | \(1.4744\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 213484.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 213484.c do not have complex multiplication.Modular form 213484.2.a.c
sage: E.q_eigenform(10)