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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 195195f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
195195.o1 | 195195f1 | \([1, 0, 0, 4215, 91350]\) | \(49003071761111/49525678125\) | \(-8369839603125\) | \([]\) | \(374400\) | \(1.1665\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 195195f1 has rank \(2\).
Complex multiplication
The elliptic curves in class 195195f do not have complex multiplication.Modular form 195195.2.a.f
sage: E.q_eigenform(10)