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SageMath
E = EllipticCurve("cm1")
E.isogeny_class()
Elliptic curves in class 35280.cm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
35280.cm1 | 35280bl1 | \([0, 0, 0, 1932, 102508]\) | \(12459008/78125\) | \(-5000940000000\) | \([]\) | \(53760\) | \(1.1185\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35280.cm1 has rank \(1\).
Complex multiplication
The elliptic curves in class 35280.cm do not have complex multiplication.Modular form 35280.2.a.cm
sage: E.q_eigenform(10)