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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 150075c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
150075.b1 | 150075c1 | \([0, 0, 1, 15, 166]\) | \(20480/667\) | \(-12156075\) | \([]\) | \(27648\) | \(0.039426\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 150075c1 has rank \(2\).
Complex multiplication
The elliptic curves in class 150075c do not have complex multiplication.Modular form 150075.2.a.c
sage: E.q_eigenform(10)