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SageMath
E = EllipticCurve("ms1")
E.isogeny_class()
Elliptic curves in class 187200.ms
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
187200.ms1 | 187200kc1 | \([0, 0, 0, -2250, 33750]\) | \(69120/13\) | \(236925000000\) | \([]\) | \(134400\) | \(0.90040\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 187200.ms1 has rank \(0\).
Complex multiplication
The elliptic curves in class 187200.ms do not have complex multiplication.Modular form 187200.2.a.ms
sage: E.q_eigenform(10)