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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 16562c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
16562.w1 | 16562c1 | \([1, 1, 0, -298288, 66942660]\) | \(-48013/4\) | \(-244531314359879092\) | \([]\) | \(340704\) | \(2.0820\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16562c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 16562c do not have complex multiplication.Modular form 16562.2.a.c
sage: E.q_eigenform(10)