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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 26775.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
26775.v1 | 26775bs1 | \([0, 0, 1, -23072250, -42637118594]\) | \(4769863992106516480/2480098920957\) | \(706246919288145703125\) | \([]\) | \(2217600\) | \(2.9514\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 26775.v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 26775.v do not have complex multiplication.Modular form 26775.2.a.v
sage: E.q_eigenform(10)