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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 53900.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
53900.c1 | 53900d1 | \([0, 1, 0, -8881658, 10707874813]\) | \(-129084391106508544/7863818359375\) | \(-4720256970214843750000\) | \([]\) | \(2471040\) | \(2.9136\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 53900.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 53900.c do not have complex multiplication.Modular form 53900.2.a.c
sage: E.q_eigenform(10)