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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 11858k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11858.m1 | 11858k1 | \([1, 0, 1, -47, 130]\) | \(-268279/32\) | \(-1328096\) | \([]\) | \(1920\) | \(-0.089548\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11858k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 11858k do not have complex multiplication.Modular form 11858.2.a.k
sage: E.q_eigenform(10)