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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 133200.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
133200.s1 | 133200fd1 | \([0, 0, 0, -5475, -69950]\) | \(19450850/8991\) | \(8389681920000\) | \([]\) | \(261120\) | \(1.1745\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 133200.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 133200.s do not have complex multiplication.Modular form 133200.2.a.s
sage: E.q_eigenform(10)