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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 25410.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
25410.c1 | 25410f1 | \([1, 1, 0, -11893, -504203]\) | \(-1537693061582689/8505000\) | \(-1029105000\) | \([]\) | \(34560\) | \(0.92224\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 25410.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 25410.c do not have complex multiplication.Modular form 25410.2.a.c
sage: E.q_eigenform(10)