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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 3465.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3465.s1 | 3465m1 | \([0, 0, 1, -3, -221]\) | \(-4096/28875\) | \(-21049875\) | \([]\) | \(1152\) | \(0.084119\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3465.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 3465.s do not have complex multiplication.Modular form 3465.2.a.s
sage: E.q_eigenform(10)