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SageMath
E = EllipticCurve("jv1")
E.isogeny_class()
Elliptic curves in class 379050.jv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
379050.jv1 | 379050jv1 | \([1, 0, 0, -342589188, 2441120986992]\) | \(-881946488857699/201684000\) | \(-1016889775607184937500000\) | \([]\) | \(120384000\) | \(3.5983\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 379050.jv1 has rank \(0\).
Complex multiplication
The elliptic curves in class 379050.jv do not have complex multiplication.Modular form 379050.2.a.jv
sage: E.q_eigenform(10)