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SageMath
E = EllipticCurve("z1")
E.isogeny_class()
Elliptic curves in class 102550z
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
102550.w1 | 102550z1 | \([1, 0, 0, -3513, -5582983]\) | \(-12274557745/34460475392\) | \(-13461123200000000\) | \([]\) | \(836160\) | \(1.7738\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 102550z1 has rank \(2\).
Complex multiplication
The elliptic curves in class 102550z do not have complex multiplication.Modular form 102550.2.a.z
sage: E.q_eigenform(10)