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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 102850.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
102850.v1 | 102850g1 | \([1, 1, 0, -13784025, -19703694875]\) | \(-153195680944569461209/3612500000000\) | \(-6829882812500000000\) | \([]\) | \(5068800\) | \(2.7257\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 102850.v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 102850.v do not have complex multiplication.Modular form 102850.2.a.v
sage: E.q_eigenform(10)