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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 14450.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14450.s1 | 14450be1 | \([1, -1, 1, -30255, 2264247]\) | \(-2346853689/327680\) | \(-427627520000000\) | \([]\) | \(138240\) | \(1.5389\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14450.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 14450.s do not have complex multiplication.Modular form 14450.2.a.s
sage: E.q_eigenform(10)