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SageMath
E = EllipticCurve("bc1")
E.isogeny_class()
Elliptic curves in class 24150.bc
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
24150.bc1 | 24150v1 | \([1, 0, 1, -15376, -737602]\) | \(-25727239787761/101406816\) | \(-1584481500000\) | \([]\) | \(50400\) | \(1.1985\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 24150.bc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 24150.bc do not have complex multiplication.Modular form 24150.2.a.bc
sage: E.q_eigenform(10)