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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 135240.m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
135240.m1 | 135240bx1 | \([0, -1, 0, -156, -279]\) | \(538967296/251505\) | \(197179920\) | \([]\) | \(37632\) | \(0.28607\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 135240.m1 has rank \(0\).
Complex multiplication
The elliptic curves in class 135240.m do not have complex multiplication.Modular form 135240.2.a.m
sage: E.q_eigenform(10)