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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 93138c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
93138.f1 | 93138c1 | \([1, 1, 0, 654125, -48076547]\) | \(657935488109375/402215100048\) | \(-18922563733261302288\) | \([]\) | \(1958400\) | \(2.3881\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 93138c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 93138c do not have complex multiplication.Modular form 93138.2.a.c
sage: E.q_eigenform(10)