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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 254320c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
254320.c1 | 254320c1 | \([0, 0, 0, 9248, 1752496]\) | \(255688704/4026275\) | \(-1377396794470400\) | \([]\) | \(1607040\) | \(1.5855\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 254320c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 254320c do not have complex multiplication.Modular form 254320.2.a.c
sage: E.q_eigenform(10)