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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 26775.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
26775.c1 | 26775ba1 | \([0, 0, 1, -9525, -419594]\) | \(-8390176768/1821771\) | \(-20751110296875\) | \([]\) | \(96768\) | \(1.2762\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 26775.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 26775.c do not have complex multiplication.Modular form 26775.2.a.c
sage: E.q_eigenform(10)