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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 141512p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
141512.bj1 | 141512p1 | \([0, 1, 0, -147408, -31243360]\) | \(-31250/19\) | \(-215374062021859328\) | \([]\) | \(950400\) | \(2.0280\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 141512p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 141512p do not have complex multiplication.Modular form 141512.2.a.p
sage: E.q_eigenform(10)