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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 152460.j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
152460.j1 | 152460cc1 | \([0, 0, 0, -328607928, -2292794831052]\) | \(-330287698649088/21875\) | \(-259904312650936800000\) | \([]\) | \(20528640\) | \(3.3743\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 152460.j1 has rank \(0\).
Complex multiplication
The elliptic curves in class 152460.j do not have complex multiplication.Modular form 152460.2.a.j
sage: E.q_eigenform(10)